Solve a/bb-a/2b=a

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

Solve for a

$$\left\{\begin{matrix}a=0\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&b=\frac{\sqrt{17}-1}{4}\text{ or }b=\frac{-\sqrt{17}-1}{4}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2b^{2}, the least common multiple of bb,2b.

$$2a-ba=a\times 2b^{2}$$

Subtract a\times 2b^{2} from both sides.

$$2a-ba-a\times 2b^{2}=0$$

Multiply -1 and 2 to get -2.

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

Combine all terms containing a.

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

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

$$a=0$$

Solve for b

$$\left\{\begin{matrix}\\b=\frac{\sqrt{17}-1}{4}\text{; }b=\frac{-\sqrt{17}-1}{4}\text{, }&\text{unconditionally}\\b\neq 0\text{, }&a=0\end{matrix}\right.$$