himpunan penyelesaian persamaan nilai mutlak |2x-1|=|4x+3|

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x - 1| = |4x + 3|

(2x - 1)² = (4x + 3)²
(2x - 1)² - (4x + 3)² = 0
(2x - 1 + 4x + 3) (2x - 1 - 4x - 3) = 0
(6x + 2) (-2x - 4) = 0
6x + 2 = 0
6x = -2
x = -2/6
x = -1/3

-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2

HP = { -2, -1/3 }