Solve 6x^3-x^2 42x-8

Question

Simplify the expression

- 36 x^{3} - 8

Show Solution

- 4 (9 x^{3} + 2)

Show Solution

x = - \frac{3 6}{3}

Alternative Form

x \approx - 0.605707

Evaluate

6 x^{3} - x^{2} \times 42 x - 8

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

6 x^{3} - x^{2} \times 42 x - 8 = 0

Multiply

More Steps

6 x^{3} - 42 x^{3} - 8 = 0

Subtract the terms

More Steps

- 36 x^{3} - 8 = 0

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

- 36 x^{3} = 0 + 8

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

- 36 x^{3} = 8

Change the signs on both sides of the equation

36 x^{3} = - 8

Divide both sides

\frac{36 x ^{3}}{36} = \frac{- 8}{36}

Divide the numbers

x^{3} = \frac{- 8}{36}

Divide the numbers

More Steps

x^{3} = - \frac{2}{9}

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

3 x^{3} = 3 - \frac{2}{9}

Calculate

x = 3 - \frac{2}{9}

Solution

More Steps

x = - \frac{3 6}{3}

Alternative Form

x \approx - 0.605707

Show Solution