Solve -4x^2 6x-9=0

Evaluate

- 4 x^{2} \times 6 x - 9 = 0

Multiply

More Steps

- 24 x^{3} - 9 = 0

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

- 24 x^{3} = 0 + 9

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

- 24 x^{3} = 9

Change the signs on both sides of the equation

24 x^{3} = - 9

Divide both sides

\frac{24 x ^{3}}{24} = \frac{- 9}{24}

Divide the numbers

x^{3} = \frac{- 9}{24}

Divide the numbers

More Steps

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

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

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

Calculate

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

Solution

More Steps

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

Alternative Form

x \approx - 0.721125

Solve the equation