Solve 3ab=3ab^2

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

Solve for a

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

Steps for Solving Linear Equation

Cancel out 3 on both sides.

$$ab=ab^{2}$$

Subtract ab^{2} from both sides.

$$ab-ab^{2}=0$$

Reorder the terms.

$$-ab^{2}+ab=0$$

Combine all terms containing a.

$$\left(-b^{2}+b\right)a=0$$

The equation is in standard form.

$$\left(b-b^{2}\right)a=0$$

Divide 0 by -b^{2}+b.

$$a=0$$

Solve for b

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