Solve 3-2x 10x^59x

Question

Simplify the expression

3 - 180 x^{7}

Evaluate

3 - 2 x \times 10 x^{5} \times 9 x

Solution

More Steps

Evaluate

2 x \times 10 x^{5} \times 9 x

Multiply the terms

More Steps

Evaluate

2 \times 10 \times 9

Multiply the terms

20 \times 9

Multiply the numbers

180

180 x \times x^{5} \times x

Multiply the terms with the same base by adding their exponents

180 x^{1 + 5 + 1}

Add the numbers

180 x^{7}

3 - 180 x^{7}

Show Solution

Factor the expression

3 (1 - 60 x^{7})

Evaluate

3 - 2 x \times 10 x^{5} \times 9 x

Multiply

More Steps

Evaluate

2 x \times 10 x^{5} \times 9 x

Multiply the terms

More Steps

Evaluate

2 \times 10 \times 9

Multiply the terms

20 \times 9

Multiply the numbers

180

180 x \times x^{5} \times x

Multiply the terms with the same base by adding their exponents

180 x^{1 + 5 + 1}

Add the numbers

180 x^{7}

3 - 180 x^{7}

Solution

3 (1 - 60 x^{7})

Show Solution

Find the roots

x = \frac{7 6 0 ^{6}}{60}

Alternative Form

x \approx 0.557158

Evaluate

3 - 2 x \times 10 x^{5} \times 9 x

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

3 - 2 x \times 10 x^{5} \times 9 x = 0

Multiply

More Steps

Multiply the terms

2 x \times 10 x^{5} \times 9 x

Multiply the terms

More Steps

Evaluate

2 \times 10 \times 9

Multiply the terms

20 \times 9

Multiply the numbers

180

180 x \times x^{5} \times x

Multiply the terms with the same base by adding their exponents

180 x^{1 + 5 + 1}

Add the numbers

180 x^{7}

3 - 180 x^{7} = 0

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

- 180 x^{7} = 0 - 3

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

- 180 x^{7} = - 3

Change the signs on both sides of the equation

180 x^{7} = 3

Divide both sides

\frac{180 x ^{7}}{180} = \frac{3}{180}

Divide the numbers

x^{7} = \frac{3}{180}

Cancel out the common factor 3

x^{7} = \frac{1}{60}

Take the 7 -th root on both sides of the equation

7 x^{7} = 7 \frac{1}{60}

Calculate

x = 7 \frac{1}{60}

Solution

More Steps

Evaluate

7 \frac{1}{60}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{7 1}{7 60}

Simplify the radical expression

\frac{1}{7 60}

Multiply by the Conjugate

\frac{7 6 0 ^{6}}{7 60 \times 7 6 0 ^{6}}

Multiply the numbers

More Steps

Evaluate

760 \times 7 6 0^{6}

The product of roots with the same index is equal to the root of the product

7 60 \times 6 0^{6}

Calculate the product

7 6 0^{7}

Reduce the index of the radical and exponent with 7

60

\frac{7 6 0 ^{6}}{60}

x = \frac{7 6 0 ^{6}}{60}

Alternative Form

x \approx 0.557158

Show Solution