The variable x using common denominator is x = 2 / 3 or - 4
The variable x can be found as follows:
4 / 6(x + 4) = x / x + 4
cross multiply
4(x + 4) = 6x(x + 4)
Therefore,
4x + 16 = 6x² + 24x
Hence,
6x² + 24x - 4x - 16 = 0
6x² + 20x - 16 = 0
divide through by 2
3x² + 10x - 8 = 0
using quadratic formula,
-b ± √b² - 4ac / 2a
where
a = 3
b = 10
c = -8
Hence,
x = 2 / 3 or - 4
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