himpunan penyelesaian | 3x+1| = |x-2| adalah

Mantap djiwa...........

|3x + 1| = |x - 2|
(3x + 1)^2 = (x - 2)^2
(3x + 1)^2 - (x - 2) = 0
(3x + 1 + x - 2) (3x + 1 - x + 2) = 0
(4x - 1) (2x + 3) = 0
4x - 1 = 0
4x = 1
x = 1/4

2x + 3 = 0
2x = -3
x = -3/2

x = { -3/2, 1/4 }