Solve f(x)=x^2+1269(text{fof})(2)=?

$$f ( x ) = x ^ { 2 } + 1269 ( \text { fof } ) ( 2 ) = ?$$

Solve for o (complex solution)

$$\left\{\begin{matrix}o=-\frac{x\left(x-f\right)}{2538f^{2}}\text{, }&f\neq 0\\o\in \mathrm{C}\text{, }&f=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fx=x^{2}+1269f^{2}o\times 2$$

Multiply 1269 and 2 to get 2538.

$$fx=x^{2}+2538f^{2}o$$

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

$$x^{2}+2538f^{2}o=fx$$

Subtract x^{2} from both sides.

$$2538f^{2}o=fx-x^{2}$$

Divide both sides by 2538f^{2}.

$$\frac{2538f^{2}o}{2538f^{2}}=\frac{x\left(f-x\right)}{2538f^{2}}$$

Dividing by 2538f^{2} undoes the multiplication by 2538f^{2}.

$$o=\frac{x\left(f-x\right)}{2538f^{2}}$$

Solve for o

$$\left\{\begin{matrix}o=-\frac{x\left(x-f\right)}{2538f^{2}}\text{, }&f\neq 0\\o\in \mathrm{R}\text{, }&f=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fx=x^{2}+1269f^{2}o\times 2$$

Multiply 1269 and 2 to get 2538.

$$fx=x^{2}+2538f^{2}o$$

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

$$x^{2}+2538f^{2}o=fx$$

Subtract x^{2} from both sides.

$$2538f^{2}o=fx-x^{2}$$

Divide both sides by 2538f^{2}.

$$\frac{2538f^{2}o}{2538f^{2}}=\frac{x\left(f-x\right)}{2538f^{2}}$$

Dividing by 2538f^{2} undoes the multiplication by 2538f^{2}.

$$o=\frac{x\left(f-x\right)}{2538f^{2}}$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=-\frac{\sqrt{\left(1-10152o\right)x^{2}}-x}{5076o}\text{; }f=\frac{\sqrt{\left(1-10152o\right)x^{2}}+x}{5076o}\text{, }&o\neq 0\\f=x\text{, }&o=0\text{ and }x\neq 0\\f\in \mathrm{C}\text{, }&o=0\text{ and }x=0\end{matrix}\right.$$

Solve for f

$$\left\{\begin{matrix}f=-\frac{\left(\sqrt{1-10152o}-1\right)x}{5076o}\text{; }f=\frac{\left(\sqrt{1-10152o}+1\right)x}{5076o}\text{, }&o\neq 0\text{ and }o\leq \frac{1}{10152}\\f=x\text{, }&x=0\text{ or }o=0\\f\in \mathrm{R}\text{, }&o=0\text{ and }x=0\end{matrix}\right.$$