Solve -24x 10x^3 -x^5

Question

Simplify the expression

- 240 x^{4} - x^{5}

Evaluate

- 24 x \times 10 x^{3} - x^{5}

Solution

More Steps

Evaluate

- 24 x \times 10 x^{3}

Multiply the terms

- 240 x \times x^{3}

Multiply the terms with the same base by adding their exponents

- 240 x^{1 + 3}

Add the numbers

- 240 x^{4}

- 240 x^{4} - x^{5}

Show Solution

- x^{4} (240 + x)

Evaluate

- 24 x \times 10 x^{3} - x^{5}

Multiply

More Steps

Evaluate

- 24 x \times 10 x^{3}

Multiply the terms

- 240 x \times x^{3}

Multiply the terms with the same base by adding their exponents

- 240 x^{1 + 3}

Add the numbers

- 240 x^{4}

- 240 x^{4} - x^{5}

Rewrite the expression

- x^{4} \times 240 - x^{4} \times x

Solution

- x^{4} (240 + x)

Show Solution

x_{1} = - 240, x_{2} = 0

Evaluate

- 24 x \times 10 x^{3} - x^{5}

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

- 24 x \times 10 x^{3} - x^{5} = 0

Multiply

More Steps

Multiply the terms

- 24 x \times 10 x^{3}

Multiply the terms

- 240 x \times x^{3}

Multiply the terms with the same base by adding their exponents

- 240 x^{1 + 3}

Add the numbers

- 240 x^{4}

- 240 x^{4} - x^{5} = 0

Factor the expression

- x^{4} (240 + x) = 0

Divide both sides

x^{4} (240 + x) = 0

Separate the equation into 2 possible cases

x^{4} = 0 240 + x = 0

The only way a power can be 0 is when the base equals 0

x = 0 240 + x = 0

Solve the equation

More Steps

Evaluate

240 + x = 0

Move the constant to the right-hand side and change its sign

x = 0 - 240

Removing 0 doesn't change the value,so remove it from the expression

x = - 240

x = 0 x = - 240

Solution

x_{1} = - 240, x_{2} = 0

Show Solution