Solve y=2/x^2dx=

$$y = \frac { 2 } { x ^ { 2 } } d x =$$

Solve for d

$$d=\frac{xy}{2}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{2}.

$$yx^{2}=2dx$$

Swap sides so that all variable terms are on the left hand side.

$$2dx=yx^{2}$$

The equation is in standard form.

$$2xd=yx^{2}$$

Divide both sides by 2x.

$$\frac{2xd}{2x}=\frac{yx^{2}}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$d=\frac{yx^{2}}{2x}$$

Divide yx^{2} by 2x.

$$d=\frac{xy}{2}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{2d}{y}\text{, }&d\neq 0\text{ and }y\neq 0\\x\neq 0\text{, }&y=0\text{ and }d=0\end{matrix}\right.$$