Question

Using the zero product property to find the solutions to the equation x^2 + x-30= 12

Answer 1

first, factor x^2+x-42:
(x^2-6x)+(7x-42)
x(x-6)+7(x-6)
(x+7)(x-6)=0
solve using zero product property:
x+7=0
x=-7
x-6=0
x=6

final solutions to the equation:
x=6;x=-7