SOLUTION: Find x in terms of c: {{{2/(3x-2c)}}} + {{{3/(2x-3c)}}} = {{{7/(2c)}}}

Algebra ->  Equations -> SOLUTION: Find x in terms of c: {{{2/(3x-2c)}}} + {{{3/(2x-3c)}}} = {{{7/(2c)}}}      Log On


   

Question 1068263: Find x in terms of c: 2%2F%283x-2c%29 + 3%2F%282x-3c%29 = 7%2F%282c%29
Found 2 solutions by josgarithmetic, Lightning_Fast:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the left and right sides by 2c%283x-2c%29%282x-3c%29, simplify, and you will have a quadratic equation to solve.

Answer by Lightning_Fast(78) About Me  (Show Source):
You can put this solution on YOUR website!
Find the greatest common denominator of all the fractions. The GCD is %283x-2c%29%2A%282x-3c%29%2A%282x%29.
Multiply all sides with the greatest common denominator to get:
?
Subtract
42x%5E2-117cx=-66c%5E2
From there, factor out the x and you're done!