Answer
x=3 or x=-4
Work Step by Step
$x^2+x-12=0\longrightarrow$ the factors of -12 that sum to 1 are -3,4
$(x-3)(x+4)=0$
Using the 0 product property,
$x-3=0\ or\ x+4=0$
$x-3+3=0+3\ or\ x+4-4=0-4$
$x=3\ or\ x=-4$
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