Solve 3x^3-6x^22x-8

Question

Simplify the expression

- 9 x^{3} - 8

Show Solution

x = - \frac{2 3 3}{3}

Alternative Form

x \approx - 0.9615

Evaluate

3 x^{3} - 6 x^{2} \times 2 x - 8

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

3 x^{3} - 6 x^{2} \times 2 x - 8 = 0

Multiply

More Steps

3 x^{3} - 12 x^{3} - 8 = 0

Subtract the terms

More Steps

- 9 x^{3} - 8 = 0

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

- 9 x^{3} = 0 + 8

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

- 9 x^{3} = 8

Change the signs on both sides of the equation

9 x^{3} = - 8

Divide both sides

\frac{9 x ^{3}}{9} = \frac{- 8}{9}

Divide the numbers

x^{3} = \frac{- 8}{9}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{3} = - \frac{8}{9}

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

3 x^{3} = 3 - \frac{8}{9}

Calculate

x = 3 - \frac{8}{9}

Solution

More Steps

x = - \frac{2 3 3}{3}

Alternative Form

x \approx - 0.9615

Show Solution