Solve 250/5-4x9x(10000-1111x9) 3x8

Question

Simplify the expression

50 - 8640000 x^{3} + 8639136 x^{4}

Evaluate

\frac{250}{5} - 4 x \times 9 x (10000 - 1111 x \times 9) \times 3 x \times 8

Rewrite the expression in exponential form

\frac{250}{5} - 4 x^{3} \times 9 (10000 - 1111 x \times 9) \times 3 \times 8

Multiply the terms

\frac{250}{5} - 4 x^{3} \times 9 (10000 - 9999 x) \times 3 \times 8

Divide the terms

More Steps

Evaluate

\frac{250}{5}

Reduce the numbers

\frac{50}{1}

Calculate

50

50 - 4 x^{3} \times 9 (10000 - 9999 x) \times 3 \times 8

Multiply the terms

More Steps

Multiply the terms

4 x^{3} \times 9 (10000 - 9999 x) \times 3 \times 8

Multiply the terms

More Steps

Evaluate

4 \times 9 \times 3 \times 8

Multiply the terms

36 \times 3 \times 8

Multiply the terms

108 \times 8

Multiply the numbers

864

864 x^{3} (10000 - 9999 x)

50 - 864 x^{3} (10000 - 9999 x)

Solution

More Steps

Evaluate

- 864 x^{3} (10000 - 9999 x)

Apply the distributive property

- 864 x^{3} \times 10000 - (- 864 x^{3} \times 9999 x)

Multiply the numbers

- 8640000 x^{3} - (- 864 x^{3} \times 9999 x)

Multiply the terms

More Steps

Evaluate

- 864 x^{3} \times 9999 x

Multiply the numbers

- 8639136 x^{3} \times x

Multiply the terms

- 8639136 x^{4}

- 8640000 x^{3} - (- 8639136 x^{4})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 8640000 x^{3} + 8639136 x^{4}

50 - 8640000 x^{3} + 8639136 x^{4}

Show Solution

Factor the expression

2 (25 - 4320000 x^{3} + 4319568 x^{4})

Evaluate

\frac{250}{5} - 4 x \times 9 x (10000 - 1111 x \times 9) \times 3 x \times 8

Multiply the terms

\frac{250}{5} - 4 x \times 9 x (10000 - 9999 x) \times 3 x \times 8

Divide the terms

More Steps

Evaluate

\frac{250}{5}

Reduce the numbers

\frac{50}{1}

Calculate

50

50 - 4 x \times 9 x (10000 - 9999 x) \times 3 x \times 8

Multiply

More Steps

Multiply the terms

4 x \times 9 x (10000 - 9999 x) \times 3 x \times 8

Multiply the terms

More Steps

Evaluate

4 \times 9 \times 3 \times 8

Multiply the terms

36 \times 3 \times 8

Multiply the terms

108 \times 8

Multiply the numbers

864

864 x \times x (10000 - 9999 x) x

Multiply the terms with the same base by adding their exponents

864 x^{1 + 1 + 1} (10000 - 9999 x)

Add the numbers

864 x^{3} (10000 - 9999 x)

50 - 864 x^{3} (10000 - 9999 x)

Simplify

More Steps

Evaluate

- 864 x^{3} (10000 - 9999 x)

Apply the distributive property

- 864 x^{3} \times 10000 - 864 x^{3} (- 9999 x)

Multiply the terms

- 8640000 x^{3} - 864 x^{3} (- 9999 x)

Multiply the terms

More Steps

Evaluate

- 864 x^{3} (- 9999 x)

Multiply the numbers

8639136 x^{3} \times x

Multiply the terms

8639136 x^{4}

- 8640000 x^{3} + 8639136 x^{4}

50 - 8640000 x^{3} + 8639136 x^{4}

Solution

2 (25 - 4320000 x^{3} + 4319568 x^{4})

Show Solution

Find the roots

x_{1} \approx 0.018063, x_{2} \approx 1.000094

Evaluate

\frac{250}{5} - 4 x \times 9 x (10000 - 1111 x \times 9) \times 3 x \times 8

To find the roots of the expression,set the expression equal to 0

\frac{250}{5} - 4 x \times 9 x (10000 - 1111 x \times 9) \times 3 x \times 8 = 0

Multiply the terms

\frac{250}{5} - 4 x \times 9 x (10000 - 9999 x) \times 3 x \times 8 = 0

Divide the terms

More Steps

Evaluate

\frac{250}{5}

Reduce the numbers

\frac{50}{1}

Calculate

50

50 - 4 x \times 9 x (10000 - 9999 x) \times 3 x \times 8 = 0

Multiply

More Steps

Multiply the terms

4 x \times 9 x (10000 - 9999 x) \times 3 x \times 8

Multiply the terms

More Steps

Evaluate

4 \times 9 \times 3 \times 8

Multiply the terms

36 \times 3 \times 8

Multiply the terms

108 \times 8

Multiply the numbers

864

864 x \times x (10000 - 9999 x) x

Multiply the terms with the same base by adding their exponents

864 x^{1 + 1 + 1} (10000 - 9999 x)

Add the numbers

864 x^{3} (10000 - 9999 x)

50 - 864 x^{3} (10000 - 9999 x) = 0

Calculate

More Steps

Evaluate

- 864 x^{3} (10000 - 9999 x)

Apply the distributive property

- 864 x^{3} \times 10000 - (- 864 x^{3} \times 9999 x)

Multiply the numbers

- 8640000 x^{3} - (- 864 x^{3} \times 9999 x)

Multiply the terms

More Steps

Evaluate

- 864 x^{3} \times 9999 x

Multiply the numbers

- 8639136 x^{3} \times x

Multiply the terms

- 8639136 x^{4}

- 8640000 x^{3} - (- 8639136 x^{4})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 8640000 x^{3} + 8639136 x^{4}

50 - 8640000 x^{3} + 8639136 x^{4} = 0

Factor the expression

2 (25 - 4320000 x^{3} + 4319568 x^{4}) = 0

Divide both sides

25 - 4320000 x^{3} + 4319568 x^{4} = 0

Calculate

x \approx 1.000094 x \approx 0.018063

Solution

x_{1} \approx 0.018063, x_{2} \approx 1.000094

Show Solution