Solve 3ab^2=10a

$$3 a b ^ { 2 } = 10 a$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&b=-\frac{\sqrt{30}}{3}\text{ or }b=\frac{\sqrt{30}}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 10a from both sides.

$$3ab^{2}-10a=0$$

Combine all terms containing a.

$$\left(3b^{2}-10\right)a=0$$

Divide 0 by 3b^{2}-10.

$$a=0$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&|b|=\frac{\sqrt{30}}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 10a from both sides.

$$3ab^{2}-10a=0$$

Combine all terms containing a.

$$\left(3b^{2}-10\right)a=0$$

Divide 0 by 3b^{2}-10.

$$a=0$$

Solve for b (complex solution)

$$\left\{\begin{matrix}\\b=-\frac{\sqrt{30}}{3}\text{; }b=\frac{\sqrt{30}}{3}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Solve for b

$$\left\{\begin{matrix}\\b=\frac{\sqrt{30}}{3}\text{; }b=-\frac{\sqrt{30}}{3}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$