Posted by John on Tuesday, October 5, 2010 at 5:32pm.
[4x - 4] = 8x + 16.
There are 2 possible solutions:
4x - 4 = +- (8x + 16),
First Eq:
4x - 4 = +(8x + 16),
4x - 8x = 16 + 4,
-4x = 20,
x = -5.
2nd Eq:
4x - 4 = -(8x + 16),
4x - 4 = -8x - 16,
4x + 8x = -16 + 4,
12x = -12,
x = -1.
Check 1st Eq:
[4*-5 -4] = 8*-5 + 16,
[-24] = -24.
The above statement is NOT true:
[-24] = +24.
Therefore, -5 is NOT a solution.
Check 2nd Eq:
[4*-1 - 4] = 8*-1 + 16,
[-8] = 8. TRUE.
Solution:x = -1.