Solve x^2+xy=6-28

$$x ^ { 2 } + x y = 6 - 28$$

Solve for y

$$y=-x-\frac{22}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 28 from 6 to get -22.

$$x^{2}+xy=-22$$

Subtract x^{2} from both sides.

$$xy=-22-x^{2}$$

The equation is in standard form.

$$xy=-x^{2}-22$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{-x^{2}-22}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{-x^{2}-22}{x}$$

Divide -22-x^{2} by x.

$$y=-x-\frac{22}{x}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{y^{2}-88}-y}{2}$$

$$x=\frac{-\sqrt{y^{2}-88}-y}{2}$$

Solve for x

$$x=\frac{\sqrt{y^{2}-88}-y}{2}$$

$$x=\frac{-\sqrt{y^{2}-88}-y}{2}\text{, }|y|\geq 2\sqrt{22}$$