Himpunan penyelesaian ari |5x-6|-4=10 adalah?

|5x-6|-4=10
|5x-6| =10 + 4
|5x-6| = 14 –> kedua ruas dikuadratkan
(5x-6)² = 14²
25x² – 60x + 36 – 196 = 0
25x² – 60x – 160 = 0 –> kuadrat sempurna
x² – (12/5)x – 32/5 = 0
(x – 6/5)² – 36/25 – 32/5 = 0
(x – 6/5)² = 196/25
x – 6/5 = 14/5 atau x – 6/5 = -14/5
x = 14/5 + 6/5 atau x = -14/5 + 6/5
x = 20/5 atau x = -8/5
x = 4 atau x = -8/5
Hp = {x = 4 atau x = -8/5}

(+) |5x-6|-4 =10
5x-6=14
5x=20
x=4
(-) |5x-6|-4 = -10
5x-6 = -6
5X = -6 +6
5x = 0
x = 0/5
x = 0