Solve (x+2)*(x+3)=x^2-20

$$( x + 2 ) \cdot ( x + 3 ) = x ^ { 2 } - 20$$

Solve for x

$$x = -\frac{26}{5} = -5\frac{1}{5} = -5.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+2 by x+3 and combine like terms.

$$x^{2}+5x+6=x^{2}-20$$

Subtract x^{2} from both sides.

$$x^{2}+5x+6-x^{2}=-20$$

Combine x^{2} and -x^{2} to get 0.

$$5x+6=-20$$

Subtract 6 from both sides.

$$5x=-20-6$$

Subtract 6 from -20 to get -26.

$$5x=-26$$

Divide both sides by 5.

$$x=\frac{-26}{5}$$

Fraction \frac{-26}{5} can be rewritten as -\frac{26}{5} by extracting the negative sign.

$$x=-\frac{26}{5}$$