SOLUTION: (2x + 5)(x -1) = 12x

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Question 625674: (2x + 5)(x -1) = 12x
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
(2x + 5)(x - 1) = 12x

The left side is factored.  However there isn't a 0 on the right.
So we have to "un-factor" the left side by "foil"ing it out, get 0
on the right, then re-factor the left side.

  (2x + 5)(x - 1) = 12x

2x² - 2x + 5x - 5 = 12x

     2x² + 3x - 5 = 12x

Subtract 12x from both sides to get 0 on the right

     2x² - 9x - 5 = 0

  (x - 5)(2x + 1) = 0

Use the zero-factor property

 x - 5 = 0       2x + 1 =  0
     x = 5           2x = -1
                      x = 

Edwin
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