Solve xy+2y+4=0

$$x y + 2 y + 4 = 0$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$xy+4=-2y$$

Subtract 4 from both sides.

$$xy=-2y-4$$

The equation is in standard form.

$$yx=-2y-4$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{-2y-4}{y}$$

Dividing by y undoes the multiplication by y.

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

Divide -2y-4 by y.

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

Solve for y

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

$$x\neq -2$$

Steps for Solving Linear Equation

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$xy+2y=-4$$

Combine all terms containing y.

$$\left(x+2\right)y=-4$$

Divide both sides by x+2.

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

Dividing by x+2 undoes the multiplication by x+2.

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