Solve ab^2=b

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

Solve for a

$$\left\{\begin{matrix}a=\frac{1}{b}\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

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

Divide both sides by b^{2}.

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

Dividing by b^{2} undoes the multiplication by b^{2}.

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

Divide b by b^{2}.

$$a=\frac{1}{b}$$

Solve for b

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b=\frac{1}{a}\text{, }&a\neq 0\end{matrix}\right.$$