Solve x^2 6x - (a^2 2a - 8) =0

Question

Solve the equation

Solve for x

Solve for a

x = \frac{3 9 a ^{3} - 36}{3}

Evaluate

x^{2} \times 6 x - (a^{2} \times 2 a - 8) = 0

Simplify

More Steps

6 x^{3} - 2 a^{3} + 8 = 0

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

6 x^{3} = 0 - (- 2 a^{3} + 8)

Subtract the terms

More Steps

6 x^{3} = 2 a^{3} - 8

Divide both sides

\frac{6 x ^{3}}{6} = \frac{2 a ^{3} - 8}{6}

Divide the numbers

x^{3} = \frac{2 a ^{3} - 8}{6}

Divide the numbers

More Steps

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

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

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

Calculate

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

Solution

More Steps

x = \frac{3 9 a ^{3} - 36}{3}

Show Solution