Solve 180-95343x^36

Question

Simplify the expression

180 - 572058 x^{3}

Evaluate

180 - 95343 x^{3} \times 6

Solution

180 - 572058 x^{3}

Show Solution

18 (10 - 31781 x^{3})

Evaluate

180 - 95343 x^{3} \times 6

Multiply the terms

180 - 572058 x^{3}

Solution

18 (10 - 31781 x^{3})

Show Solution

x = \frac{3 10 \times 3178 1 ^{2}}{31781}

Alternative Form

x \approx 0.068016

Evaluate

180 - 95343 x^{3} \times 6

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

180 - 95343 x^{3} \times 6 = 0

Multiply the terms

180 - 572058 x^{3} = 0

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

- 572058 x^{3} = 0 - 180

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

- 572058 x^{3} = - 180

Change the signs on both sides of the equation

572058 x^{3} = 180

Divide both sides

\frac{572058 x ^{3}}{572058} = \frac{180}{572058}

Divide the numbers

x^{3} = \frac{180}{572058}

Cancel out the common factor 18

x^{3} = \frac{10}{31781}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{10}{31781}

Calculate

x = 3 \frac{10}{31781}

Solution

More Steps

Evaluate

3 \frac{10}{31781}

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

\frac{3 10}{3 31781}

Multiply by the Conjugate

\frac{3 10 \times 3 3178 1 ^{2}}{3 31781 \times 3 3178 1 ^{2}}

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

\frac{3 10 \times 3178 1 ^{2}}{3 31781 \times 3 3178 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

331781 \times 3 3178 1^{2}

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

3 31781 \times 3178 1^{2}

Calculate the product

3 3178 1^{3}

Reduce the index of the radical and exponent with 3

31781

\frac{3 10 \times 3178 1 ^{2}}{31781}

x = \frac{3 10 \times 3178 1 ^{2}}{31781}

Alternative Form

x \approx 0.068016

Show Solution