Consecutive integers

Question

The product of two consecutive integers is three less than three times their sum list all integers

Answer 1

x(x+1) = -3 + 3(x+x+1) = 6x

x^2 + x= 6x

x^2 -5x = 0

x(x-5) =0

x =0 or 5

x+1 = 1 or 6

the 2 consecutive integers are either 0 and 1, or 5 and 6

0(1) = -3 + 3(0+1) = 0

or

5(6) = -3 + 3(11) = 30