Answer
x=3 or x=-5
Work Step by Step
$x^2+2x-15=0\longrightarrow$ the factors of -15 that sum to 2 are -3,5
$(x-3)(x+5)=0$
Using the 0 product property,
$x-3=0\ or\ x+5=0$
$x-3+3=0+3\ or\ x+5-5=0-5$
$x=3\ or\ x=-5$
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