Solve -16x^2 52x-40=0

Question

Solve the equation

x = - \frac{3 845}{26}

Alternative Form

x \approx - 0.363618

Evaluate

- 16 x^{2} \times 52 x - 40 = 0

Multiply

More Steps

- 832 x^{3} - 40 = 0

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

- 832 x^{3} = 0 + 40

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

- 832 x^{3} = 40

Change the signs on both sides of the equation

832 x^{3} = - 40

Divide both sides

\frac{832 x ^{3}}{832} = \frac{- 40}{832}

Divide the numbers

x^{3} = \frac{- 40}{832}

Divide the numbers

More Steps

x^{3} = - \frac{5}{104}

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

3 x^{3} = 3 - \frac{5}{104}

Calculate

x = 3 - \frac{5}{104}

Solution

More Steps

x = - \frac{3 845}{26}

Alternative Form

x \approx - 0.363618

Show Solution