Solve -x^(2) 8x-7=0

Evaluate

- x^{2} \times 8 x - 7 = 0

Multiply

More Steps

- 8 x^{3} - 7 = 0

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

- 8 x^{3} = 0 + 7

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

- 8 x^{3} = 7

Change the signs on both sides of the equation

8 x^{3} = - 7

Divide both sides

\frac{8 x ^{3}}{8} = \frac{- 7}{8}

Divide the numbers

x^{3} = \frac{- 7}{8}

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

x^{3} = - \frac{7}{8}

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

3 x^{3} = 3 - \frac{7}{8}

Calculate

x = 3 - \frac{7}{8}

Solution

More Steps

x = - \frac{3 7}{2}

Alternative Form

x \approx - 0.956466

Solve the equation