Question

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

Answer 1

answer : 6 , -7

explanation : first understand, what is zero product property,

it is simply states that if an equation ab = 0, then either a = 0 or b = 0 .

now, here given equation is x² + x - 30 = 12

or, x² + x - 30 - 12 = 0

or, x² + x - 42 = 0

or, x² + 7x - 6x - 42 = 0

or, x(x + 7) - 6(x + 7) = 0

or, (x - 6)(x + 7) = 0

now from zero product property,

either (x - 6) = 0 or (x + 7) = 0

so, solution is x = 6 from (x - 6) = 0

and x = -7 from (x + 7) = 0