tentukan nilai x dari perdamaan nilai mutlak berikut |4×-5|=2×+5

-> 4x-5 = 2x+5
4x-2x = 5+5
2x = 10
x = 5
-> 4x-5 = -(2x+5)
4x-5 = -2x-5
4x+2x = -5+5
6x = 0
x = 0

HP: {0,5}

Materi : Persamaan Nilai Mutlak

Pembahasan :
|4x - 5| = 2x + 5
(4x - 5)² = (2x + 5)²
(4x - 5)² - (2x + 5)² = 0
(4x - 5 + 2x + 5)(4x - 5 - 2x - 5) = 0
(6x)(2x - 10) = 0
x(2x - 10) = 0
x(x - 5) = 0
x = 0
x = 5

Hp : {0 , 5}