SOLUTION: Find three consecutive even integers such that twice the product of the first two is equal to the square of the third plus five times the third. Please and thank you for your h

Question 728142: Find three consecutive even integers such that twice the product of the first two is equal to the square of the third plus five times the third.
Please and thank you for your help with this question!
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
consecutive even integers: (x-2), x, (x+2)

2(x-2)(x) = (x+2)^2 + 5(x+2)
2x^2 - 4x = x^2 + 4x + 4 + 5x + 10
2x^2 - 4x = x^2 + 9x + 14
x^2 - 13x - 14 = 0
(x - 14)(x + 1) = 0
x = 14, x = -1

x is even ----> integers are 12, 14, and 16.
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