SOLUTION: How do I solve this problem? (x-6)(x+8)=3(x-2)

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Question 347685: How do I solve this problem? (x-6)(x+8)=3(x-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the FOIL method to expand the left hand side.
x%5E2%2B8x-6x-48=3x-6
x%5E2%2B2x-48=3x-6
x%5E2-x-42=0
Factor,
%28x-7%29%28x%2B6%29=0
Two solutions:
x-7=0
highlight%28x=7%29
.
.
.
x%2B6=0
highlight%28x=-6%29
.
.
.
As a check, verify the solutions by plugging them into the original equations.