tentukan hp dari 3|2×+3|-7=-4

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
3|2x + 3| - 7 = -4
3|2x + 3| = -4 + 7
3|2x + 3| = 3
|2x + 3| = 1
(2x + 3)² = 1²
(2x + 3)² - 1² = 0
(2x + 4)(2x + 2) = 0
x = -2
x = -1

Hp : {-2 , -1}

3|2x+3|-7=-4
=> 3(2x+3)-7=-4
=> 6x + 9 -7 =-4
=> 6x = -6
=> x = -1
atau ---------------------
=> 3(-2x-3) -7 = -4
=> -6x-9 -7 =-4
=> -6x = -4+ 16
=> -6x= 12
=> x= -2

HP = {-2,-1}