Question

$$x = \frac { 2 a ^ { 2 } b ^ { 4 } \cdot \sqrt [ 4 ] { c ^ { 3 } } } { \sqrt { 5 } a b ^ { 3 } \sqrt [ 3 ] { c } }$$

Solve for a (complex solution)

$a=\frac{\sqrt{5}c^{-\frac{5}{12}}x}{2b}$
$b\neq 0\text{ and }c\neq 0\text{ and }x\neq 0$

Solve for b (complex solution)

$b=\frac{\sqrt{5}c^{-\frac{5}{12}}x}{2a}$
$x\neq 0\text{ and }c\neq 0\text{ and }a\neq 0$

Solve for a

$a=\frac{\sqrt{5}x}{2c^{\frac{5}{12}}b}$
$x\neq 0\text{ and }b\neq 0\text{ and }c>0$

Solve for b

$b=\frac{\sqrt{5}x}{2c^{\frac{5}{12}}a}$
$x\neq 0\text{ and }a\neq 0\text{ and }c>0$