Question

Solve the equation.
(x-5)(x+3)=0

Answer 1

(x-5)(x+3)=0
x^2+3x-5x-15=0
(x^2+3x) (-5x-15)
x(x+3) -5(x+3)
x-5=0 x+3=0
x=5 OR -3

Answer 2

The solutions to the equation are x=5 x=-3

Explanation:

(x-5)(x+3)=0

Since this is already factored, we can use the zero product property to determine the roots

x-5 =0 x+3 =0

x-5+5= 0+5 x+3-3 = 0-3

x =5 x=-3

The solutions to the equation are x=5 x=-3