Solve +4y=2(3x-6-x)+x^2

$$+ 4 y = 2 ( 3 x - 6 - x ) + x ^ { 2 }$$

Solve for y

$$y=\frac{\left(x-2\right)\left(x+6\right)}{4}$$

Steps for Solving Linear Equation

Combine 3x and -x to get 2x.

$$4y=2\left(2x-6\right)+x^{2}$$

Use the distributive property to multiply 2 by 2x-6.

$$4y=4x-12+x^{2}$$

The equation is in standard form.

$$4y=x^{2}+4x-12$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{\left(x-2\right)\left(x+6\right)}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{\left(x-2\right)\left(x+6\right)}{4}$$

Divide \left(-2+x\right)\left(6+x\right) by 4.

$$y=\frac{x^{2}}{4}+x-3$$

Solve for x (complex solution)

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

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

Solve for x

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

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