SOLUTION: What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?

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Question 751633: What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive positive integers: (x-1), x, (x+1)

(x-1)(x) = 5(x+1) - 5
x^2 - x = 5x
x^2 - 6x = 0
x(x - 6) = 0
x = 0, x = 6

x is positive, so the integers are 5, 6, and 7.