Solve x/a^2x=2

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

Solve for x (complex solution)

$$x\neq 0$$

$$a=-\frac{\sqrt{2}}{2}\text{ or }a=\frac{\sqrt{2}}{2}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by xa^{2}.

$$x=2xa^{2}$$

Subtract 2xa^{2} from both sides.

$$x-2xa^{2}=0$$

Combine all terms containing x.

$$\left(1-2a^{2}\right)x=0$$

Divide 0 by -2a^{2}+1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for x

$$x\neq 0$$

$$a = \frac{\sqrt{2}}{2} = 0.7071067811865476$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by xa^{2}.

$$x=2xa^{2}$$

Subtract 2xa^{2} from both sides.

$$x-2xa^{2}=0$$

Combine all terms containing x.

$$\left(1-2a^{2}\right)x=0$$

Divide 0 by -2a^{2}+1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for a (complex solution)

$$a=-\frac{\sqrt{2}}{2}\approx -0.707106781$$

$$a=\frac{\sqrt{2}}{2}\approx 0.707106781\text{, }x\neq 0$$

Solve for a

$$a = \frac{\sqrt{2}}{2} = 0.7071067811865476$$

$$a=-\frac{\sqrt{2}}{2}\text{, }x\neq 0$$