SOLUTION: {{{ a/(x-1) - 2/(x+1) = 4/(x-1)(x+1) }}} Solve for x. Please show steps.

Algebra ->  College  -> Linear Algebra -> SOLUTION: {{{ a/(x-1) - 2/(x+1) = 4/(x-1)(x+1) }}} Solve for x. Please show steps.      Log On


   

Question 947904: +a%2F%28x-1%29+-+2%2F%28x%2B1%29+=+4%2F%28x-1%29%28x%2B1%29+
Solve for x. Please show steps.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+a%2F%28x-1%29+-+2%2F%28x%2B1%29+=+4%2F%28x-1%29%28x%2B1%29+

+%28a%28x%2B1%29+-+2%28x-1%29%29%2F%28%28x%2B1%29%28x-1%29%29+=+4%2F%28x-1%29%28x%2B1%29+
So then,
a%28x%2B1%29-2%28x-1%29=4
ax%2Ba-2x%2B2=4
%28a-2%29x=4-2-a
%28a-2%29x=2-a
x=%282-a%29%2F%28a-2%29
x=-1
However, x=-1 and x=1 are not allowed solutions because of division by zero in the original equation.
So there is no solution.