Solve A=DC4+x^2

$$A = D C 4 + x ^ { 2 }$$

Solve for C_4 (complex solution)

$$\left\{\begin{matrix}C_{4}=-\frac{x^{2}-A}{D}\text{, }&D\neq 0\\C_{4}\in \mathrm{C}\text{, }&A=x^{2}\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$DC_{4}+x^{2}=A$$

Subtract x^{2} from both sides.

$$DC_{4}=A-x^{2}$$

Divide both sides by D.

$$\frac{DC_{4}}{D}=\frac{A-x^{2}}{D}$$

Dividing by D undoes the multiplication by D.

$$C_{4}=\frac{A-x^{2}}{D}$$

Solve for C_4

$$\left\{\begin{matrix}C_{4}=-\frac{x^{2}-A}{D}\text{, }&D\neq 0\\C_{4}\in \mathrm{R}\text{, }&A=x^{2}\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$DC_{4}+x^{2}=A$$

Subtract x^{2} from both sides.

$$DC_{4}=A-x^{2}$$

Divide both sides by D.

$$\frac{DC_{4}}{D}=\frac{A-x^{2}}{D}$$

Dividing by D undoes the multiplication by D.

$$C_{4}=\frac{A-x^{2}}{D}$$

Solve for A

$$A=x^{2}+C_{4}D$$