Solve x=a^3*2b

$$x = a ^ { 3 } \times 2 b$$

Solve for b

$$\left\{\begin{matrix}b=\frac{x}{2a^{3}}\text{, }&a\neq 0\\b\in \mathrm{R}\text{, }&x=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a^{3}\times 2b=x$$

The equation is in standard form.

$$2a^{3}b=x$$

Divide both sides by 2a^{3}.

$$\frac{2a^{3}b}{2a^{3}}=\frac{x}{2a^{3}}$$

Dividing by 2a^{3} undoes the multiplication by 2a^{3}.

$$b=\frac{x}{2a^{3}}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2^{\frac{2}{3}}\sqrt[3]{\frac{x}{b}}}{2}\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&x=0\text{ and }b=0\end{matrix}\right.$$