# algebra 11

Solve the following for the variable x.

4/X-2+3/X+2=-3X/X^2-4 thank you.

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1. The equation can be written properly (i.e. with sufficient parentheses) as:
4/(x-2) + 3/(x+2) = -3x/(x²-4)

If both sides are defined, then x≠±2, otherwise the right hand side becomes undefined (infinite).

The common denominator of the left-hand side is (x-2)(x+2)=x²-4

Multiply both sides by the common denominator or x²-4 (≠=0):
4(x+2) + 3(x-2) = -3x
Simplify:
7x + 2 = -3x
10x = -2
x=-1/5

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