Solve =4x+4yg(x)=x^2

$$= 4 x + 4 y g ( x ) = x ^ { 2 }$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=-\frac{4-x}{4y}\text{, }&y\neq 0\\g\in \mathrm{C}\text{, }&x=0\text{ or }\left(x=4\text{ and }y=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$4ygx=x^{2}-4x$$

The equation is in standard form.

$$4xyg=x^{2}-4x$$

Divide both sides by 4yx.

$$\frac{4xyg}{4xy}=\frac{x\left(x-4\right)}{4xy}$$

Dividing by 4yx undoes the multiplication by 4yx.

$$g=\frac{x\left(x-4\right)}{4xy}$$

Divide x\left(-4+x\right) by 4yx.

$$g=\frac{x-4}{4y}$$

Solve for g

$$\left\{\begin{matrix}g=-\frac{4-x}{4y}\text{, }&y\neq 0\\g\in \mathrm{R}\text{, }&x=0\text{ or }\left(x=4\text{ and }y=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$4ygx=x^{2}-4x$$

The equation is in standard form.

$$4xyg=x^{2}-4x$$

Divide both sides by 4yx.

$$\frac{4xyg}{4xy}=\frac{x\left(x-4\right)}{4xy}$$

Dividing by 4yx undoes the multiplication by 4yx.

$$g=\frac{x\left(x-4\right)}{4xy}$$

Divide x\left(-4+x\right) by 4yx.

$$g=\frac{x-4}{4y}$$

Solve for x

$$x=4\left(gy+1\right)$$

$$x=0$$