tentukan himpunan penyelesaian |2x -3| = |3 x + 7|

| 2x - 3 | = | 3x + 7 |

2x - 3 = 3x + 7
3x - 2x = -3 - 7
x = -10

-(2x - 3) = 3x + 7
-2x + 3 = 3x + 7
3x + 2x = 3 - 7
5x = -4
x = -4/5

HP = {-10 atau -4/5}

Persamaan Linear Satu Variabel Dalam Nilai Mutlak (Absolut).

|2x - 3| = |3x + 7|
(2x - 3)² = (3x + 7)²
4x² - 12x + 9 = 9x² + 42x + 49
4x² - 9x² - 12x - 42x + 9 - 49 = 0
-5x² - 54x - 40 = 0
5x² + 54x + 40 = 0
(5x² + 4x) + (50x + 40) = 0
x(5x + 4) +10(5x + 4) = 0
(x + 10)(5x + 4) = 0
x = -4/5 atau x = -10
HP = {(-4/5, -10)}