Solve x=x^2dx=

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

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{1}{x^{2}}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

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

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

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

Divide both sides by x^{3}.

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

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

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

Divide x by x^{3}.

$$d=\frac{1}{x^{2}}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{1}{x^{2}}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

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

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

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

Divide both sides by x^{3}.

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

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

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

Divide x by x^{3}.

$$d=\frac{1}{x^{2}}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-d^{-\frac{1}{2}}\text{; }x=d^{-\frac{1}{2}}\text{, }&d\neq 0\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{1}{\sqrt{d}}\text{; }x=-\frac{1}{\sqrt{d}}\text{, }&d>0\end{matrix}\right.$$