Himpunan penyelesaian | 2x-4|-|x+6|=0

Bab NIlai Mutlak
Matematika SMA Kelas X

|2x - 4| - |x + 6| = 0
|2x - 4| = |x + 6|

(2x - 4)² = (x + 6)²
(2x - 4)² - (x + 6)² = 0
(2x - 4 + x + 6) (2x - 4 - x - 6) = 0
(3x + 2) (x - 10) = 0
3x + 2 = 0
3x = -2
x = -2/3

x - 10 = 0
x = 10

HP = { -2/3, 10}