Solve a=xu+x^2

$$a = x u + x ^ { 2 }$$

Solve for u (complex solution)

$$\left\{\begin{matrix}u=-x+\frac{a}{x}\text{, }&x\neq 0\\u\in \mathrm{C}\text{, }&a=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xu+x^{2}=a$$

Subtract x^{2} from both sides.

$$xu=a-x^{2}$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide a-x^{2} by x.

$$u=-x+\frac{a}{x}$$

Solve for u

$$\left\{\begin{matrix}u=-x+\frac{a}{x}\text{, }&x\neq 0\\u\in \mathrm{R}\text{, }&a=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xu+x^{2}=a$$

Subtract x^{2} from both sides.

$$xu=a-x^{2}$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide a-x^{2} by x.

$$u=-x+\frac{a}{x}$$

Solve for a

$$a=x\left(x+u\right)$$