Solve (x2)(x+2)=126

$$(x2)(x+2)=126$$

Solve for x

$$x=-2+\frac{126}{x_{2}}$$

$$x_{2}\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply x_{2} by x+2.

$$x_{2}x+2x_{2}=126$$

Subtract 2x_{2} from both sides.

$$x_{2}x=126-2x_{2}$$

Divide both sides by x_{2}.

$$\frac{x_{2}x}{x_{2}}=\frac{126-2x_{2}}{x_{2}}$$

Dividing by x_{2} undoes the multiplication by x_{2}.

$$x=\frac{126-2x_{2}}{x_{2}}$$

Divide 126-2x_{2} by x_{2}.

$$x=-2+\frac{126}{x_{2}}$$

Solve for x_2

$$x_{2}=\frac{126}{x+2}$$

$$x\neq -2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x_{2} by x+2.

$$x_{2}x+2x_{2}=126$$

Combine all terms containing x_{2}.

$$\left(x+2\right)x_{2}=126$$

Divide both sides by x+2.

$$\frac{\left(x+2\right)x_{2}}{x+2}=\frac{126}{x+2}$$

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

$$x_{2}=\frac{126}{x+2}$$