SOLUTION: Please help me solve this: {{{(3x+10)/(7x-4)-(x)/(4x+3)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this: {{{(3x+10)/(7x-4)-(x)/(4x+3)}}}      Log On


   

Question 79010: Please help me solve this:
%283x%2B10%29%2F%287x-4%29-%28x%29%2F%284x%2B3%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this:
%28%283x%2B10%29%29%2F%28%287x-4%29%29=%28x%29%2F%28%284x%2B3%29%29
:
Since you have a single fraction on each side of the = sign, you can cross multiply:
:
(3x+10)*(4x+3) = x(7x-4)
:
12x^2 + 49x + 30 = 7x^2 - 4x
:
12x^2 - 7x^2 + 49x + 4x + 30 = 0
:
5x^2 + 53x + 30 = 0
:
Factors to:
(5x + 3)(x + 10) = 0
:
x = -10
and
5x = -3
x = -3/5
:
:
Check solution using x = -.6

%28%28-1.8%2B10%29%29%2F%28%28-4.2-4%29%29=%28-.6%29%2F%28%28-2.4%2B3%29%29
8.2%2F%28-8.2%29 = %28-.6%29%2F.6
:
-1 = -1; confirms x = -3/5; you can check it with x = -10