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

(6, -7)

Step-by-step explanation:

Rewriting  x^2+x-30=12 in standard form for a quadratic equation yields

x^2+x-42 = 0.  This, in turn, can be factored:  (x+7)(x-6) = 0.

Here the product of these two factors is zero.

Solving x+7=0 for x, we get x= - 7; solving x-6 for x, we get x = 6.

The solutions are {6, -7).

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