Solve -x^2 12x-27

Question

Simplify the expression

- 12 x^{3} - 27

Show Solution

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

Show Solution

x = - \frac{3 18}{2}

Alternative Form

x \approx - 1.310371

Evaluate

- x^{2} \times 12 x - 27

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

- x^{2} \times 12 x - 27 = 0

Multiply

More Steps

- 12 x^{3} - 27 = 0

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

- 12 x^{3} = 0 + 27

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

- 12 x^{3} = 27

Change the signs on both sides of the equation

12 x^{3} = - 27

Divide both sides

\frac{12 x ^{3}}{12} = \frac{- 27}{12}

Divide the numbers

x^{3} = \frac{- 27}{12}

Divide the numbers

More Steps

x^{3} = - \frac{9}{4}

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

3 x^{3} = 3 - \frac{9}{4}

Calculate

x = 3 - \frac{9}{4}

Solution

More Steps

x = - \frac{3 18}{2}

Alternative Form

x \approx - 1.310371

Show Solution