tolong dijawab. tentukan nilai x |3x+8|per|2x-2|=4

Materi : Persamaan Mutlak

Pembahasan :
|3x + 8| / |2x - 2| = 4
|3x + 8| / |2| |x - 1| = 4
|3x + 8| / |x - 1| . 1/2 = 4
|3x + 8| / |x - 1| = 8
|3x + 8| = 8|x - 1|
|3x + 8| = |8x - 8|
(3x + 8)² = (8x - 8)²
(8x - 8)² - (3x + 8)² = 0
(8x - 8 + 3x + 8)(8x - 8 - 3x - 8) = 0
(11x)(5x - 16) = 0
x(5x - 16) = 0
x = 0
x = 16/5

Hp : {0 , 16/5}