Solve -4x^2 12x - 9

Question

Simplify the expression

- 48 x^{3} - 9

Show Solution

- 3 (16 x^{3} + 3)

Show Solution

x = - \frac{3 12}{4}

Alternative Form

x \approx - 0.572357

Evaluate

- 4 x^{2} \times 12 x - 9

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

- 4 x^{2} \times 12 x - 9 = 0

Multiply

More Steps

- 48 x^{3} - 9 = 0

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

- 48 x^{3} = 0 + 9

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

- 48 x^{3} = 9

Change the signs on both sides of the equation

48 x^{3} = - 9

Divide both sides

\frac{48 x ^{3}}{48} = \frac{- 9}{48}

Divide the numbers

x^{3} = \frac{- 9}{48}

Divide the numbers

More Steps

x^{3} = - \frac{3}{16}

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

3 x^{3} = 3 - \frac{3}{16}

Calculate

x = 3 - \frac{3}{16}

Solution

More Steps

x = - \frac{3 12}{4}

Alternative Form

x \approx - 0.572357

Show Solution