So firstly, you want to multiply both sides by (x-2)(x+2) since it is the LCM, or lowest common multiplier. Your equation will look like this:
Next, you can cancel out the denominators on 3/x+2 and 4/x-2 on the left side:
Next, foil:
Next, combine like terms:
Next, add x + 14 on both sides:
Next, replace x with -5x + 6x:
Next, factor 5x^2-5x and 6x-6 separately. Make sure that both factors have the same quantity within the parentheses:
With this, we can rewrite it as From here, we solve for x in (5x+6) and (x-1) separately and setting them to zero.
In short, x = -1.2, 1.