SOLUTION: Solve. 12(x-4)-(x+2)=(x+2)(x-4) They book has the answer of 7 and 6. Can you tell me how they got this answer? I came up with x = 13 and 208.

Question 586897: Solve.
12(x-4)-(x+2)=(x+2)(x-4)
They book has the answer of 7 and 6.
Can you tell me how they got this answer?
I came up with x = 13 and 208.
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

12(x - 4) - (x + 2) = (x + 2)(x - 4)

   12x - 48 - x - 2 = x� - 4x + 2x - 8

           11x - 50 = x� - 2x - 8

                  0 = x� - 13x + 42

                  0 = (x - 7)(x - 6)

                       x - 7 = 0;   x - 6 = 0
                           
                           x = 7        x = 6

Edwin

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