Solve (-x^2 x-9)-(12x^2 x-7)

Question

Simplify the expression

- 13 x^{3} - 2

Show Solution

x = - \frac{3 338}{13}

Alternative Form

x \approx - 0.535832

Evaluate

(- x^{2} \times x - 9) - (12 x^{2} \times x - 7)

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

(- x^{2} \times x - 9) - (12 x^{2} \times x - 7) = 0

Multiply the terms

More Steps

(- x^{3} - 9) - (12 x^{2} \times x - 7) = 0

Remove the parentheses

- x^{3} - 9 - (12 x^{2} \times x - 7) = 0

Multiply

More Steps

- x^{3} - 9 - (12 x^{3} - 7) = 0

Subtract the terms

More Steps

- 13 x^{3} - 2 = 0

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

- 13 x^{3} = 0 + 2

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

- 13 x^{3} = 2

Change the signs on both sides of the equation

13 x^{3} = - 2

Divide both sides

\frac{13 x ^{3}}{13} = \frac{- 2}{13}

Divide the numbers

x^{3} = \frac{- 2}{13}

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

x^{3} = - \frac{2}{13}

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

3 x^{3} = 3 - \frac{2}{13}

Calculate

x = 3 - \frac{2}{13}

Solution

More Steps

x = - \frac{3 338}{13}

Alternative Form

x \approx - 0.535832

Show Solution