Solve dx/xx^2=2x

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

Solve for d

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

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$dxx^{2}=2xx$$

Multiply x and x to get x^{2}.

$$dxx^{2}=2x^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$dx^{3}=2x^{2}$$

The equation is in standard form.

$$x^{3}d=2x^{2}$$

Divide both sides by x^{3}.

$$\frac{x^{3}d}{x^{3}}=\frac{2x^{2}}{x^{3}}$$

Dividing by x^{3} undoes the multiplication by x^{3}.

$$d=\frac{2x^{2}}{x^{3}}$$

Divide 2x^{2} by x^{3}.

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

Solve for x

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

$$d\neq 0$$