Solve x^6+7a^3x^3-8a^6=0

$${ x }^{ 6 } +7 { a }^{ 3 } { x }^{ 3 } -8 { a }^{ 6 } = 0$$

Solve for a (complex solution)

$$a\in x,\frac{-\sqrt{-3x^{2}}-x}{2},\frac{\sqrt{-3x^{2}}-x}{2},\frac{\sqrt{-3x^{2}}+x}{4},-\frac{x}{2},\frac{x-\sqrt{-3x^{2}}}{4}$$

Solve for x (complex solution)

$$x\in a,\frac{\sqrt{-3a^{2}}-a}{2},\frac{-\sqrt{-3a^{2}}-a}{2},\sqrt{-3a^{2}}+a,-2a,a-\sqrt{-3a^{2}}$$

Solve for a

$$a=-\frac{x}{2}$$

$$a=x$$

Solve for x

$$x=-2a$$

$$x=a$$