8m² + 20m = 12
8m² + 20m - 12 = 12 - 12
8m² + 20m - 12 = 0
8m² + 24m - 4m - 12 = 0
4m(2m) + 4m(6) - 2(2m) - 2(6) = 0
4m(2m + 6) - 2(2m + 6) = 0
(4m - 2)(2m + 6) = 0
4m - 2 = 0 ∨ 2m + 6 = 0
+ 2 + 2 - 6 - 6
4m = 2 2m = -6
4 4 2 2
m = ¹/₂ m = -3
The solution set is equal to {¹/₂, -3}.
