Answer:
x=2 or x = — 7
Step-by-step explanation:
find two integers = —2+7=5
—2×7=14
rewrite in the middle term:
x² — 2x+7x—14=0
factor the first two terms in the last two terms respectively:x(x—2)+7(x—2)=0
extract the common factor:
(x—2)(x+7)=0
apply the zero product property that at least one factor is zero:
x—2=0 or x+7=0
rearrange terms on the left side of the equation:x—2
rearrange terms on the left side of the equation:x=—7
find the union of the solution:
x=2 or x=—7
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