Nilai HP dari 1. |x+1|=|x-2| 2. |2x+3|=|x+3| 3. |2x-1|=|x+3| 4. |3x-5|=|3-2x|

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1. |x +1| = |x - 2|
(x+1)^2 = (x-2)^2
x^2 + 2x + 1 = x^2 - 4x + 4
2x + 4x= 4 -1
6x = 3
x = 1/2

2. |2x +3| = |x+3|
(2x+3)^2 = (x+3)^2
4x^2 + 12x + 9 = x^2 + 6x + 9
4x^2 - x^2 +12x -6x = 9 -9
3x^2 +6x = 0
3x( x+2) =0
x = 0 atau x = - 2

3. |2x-1| = |x+3|
(2x -1)^2 = (x+3)^2
4x^2-4x + 1 = x^2 + 6x +9
4x^2 - x^2 - 4x - 6x  + 1 -9 =0
3x^2 -10x - 8  = 0
(3x + 2)(x - 4) = 0
3x+2 = 0 V x -4 = 0
x = - 2/3  V x = 4

4. |3x-5| = |3 -2x|
(3x-5)^2 = (3-2x)^2
9x^2  - 30x + 25  = 9 - 12x + 4x^2
9x^2 - 4x^2 - 30x + 12x + 25 -9 = 0
5x^2 - 18x + 16 = 0
(5x  - 8)(x - 2) = 0
x = 8/5 V x =  2