SOLUTION: (3/(x-3))=(-3/(x+6))+(3/((x-3)(x+6))) Solve the equation sorry for all the parenthesis but i wanted to make it clear

Algebra ->  Equations -> SOLUTION: (3/(x-3))=(-3/(x+6))+(3/((x-3)(x+6))) Solve the equation sorry for all the parenthesis but i wanted to make it clear       Log On


   

Question 542285: (3/(x-3))=(-3/(x+6))+(3/((x-3)(x+6)))
Solve the equation
sorry for all the parenthesis but i wanted to make it clear
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%283%2F%28x-3%29%29=%28-3%2F%28x%2B6%29%29%2B%283%2F%28%28x-3%29%28x%2B6%29%29%29+
Divide both sides by 3
+%281%2F%28x-3%29%29=%28-1%2F%28x%2B6%29%29%2B%281%2F%28%28x-3%29%28x%2B6%29%29%29+
Multiply both sides by +%28x-3+%29%2A%28+x+%2B+6+%29+
+x+%2B+6+=+-%28+x+-+3+%29+%2B+1+
+x+%2B+6+=+-x+%2B+3+%2B+1+
+2x+=+4+-+6+
+2x+=+-2+
+x+=+-1+
check answer:
+%283%2F%28x-3%29%29=%28-3%2F%28x%2B6%29%29%2B%283%2F%28%28x-3%29%28x%2B6%29%29%29+
+%283%2F%28-1-3%29%29=%28-3%2F%28-1%2B6%29%29%2B%283%2F%28%28-1-3%29%28-1%2B6%29%29%29+
+%283%2F%28-4%29%29=%28-3%2F%285%29%29%2B%283%2F%28%28-4%29%2A5%29%29+
+-3%2F4+=+-3%2F5+-3%2F20+
+-1%2F4+=+-1%2F5+-1%2F20+
Multiply both sides by 20
+-5+=+-4+-+1+
+-5+=+-5+
OK