Solve (y+2)(y+2)=16x

$$(y+2)(y+2)=16x$$

Solve for x

$$x=\frac{\left(y+2\right)^{2}}{16}$$

Steps for Solving Linear Equation

Multiply y+2 and y+2 to get \left(y+2\right)^{2}.

$$\left(y+2\right)^{2}=16x$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+2\right)^{2}.

$$y^{2}+4y+4=16x$$

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

$$16x=y^{2}+4y+4$$

Divide both sides by 16.

$$\frac{16x}{16}=\frac{\left(y+2\right)^{2}}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$x=\frac{\left(y+2\right)^{2}}{16}$$

Solve for y (complex solution)

$$y=-4\sqrt{x}-2$$

$$y=4\sqrt{x}-2$$

Solve for y

$$y=-4\sqrt{x}-2$$

$$y=4\sqrt{x}-2\text{, }x\geq 0$$