SOLUTION: Solve for x: 3/3x+1/x+4=10/7x

Algebra ->  Radicals -> SOLUTION: Solve for x: 3/3x+1/x+4=10/7x      Log On


   

Question 658886: Solve for x: 3/3x+1/x+4=10/7x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F3x%2B1%2Fx%2B4=10%2F7x
3%2F3x%2B1%2Fx%2B4=10%2F7x..... find common denominator on left side...it is 3x

3%2B1%2A3%2B4%2A3x%29%2F3x=10%2F7x

3%2B3%2B12x%29%2F3x=10%2F7x

6%2B12x%29%2F3x=10%2F7x....cross multiply

6%2B12x%297x=10%2A3x

42x%2B84x%5E2=30x

42x%2B84x%5E2-30x=0

84x%5E2%2B12x=0

12x%287x%2B1%29=0
solutions:

if 12x=0...=>........x=0
if 7x%2B1%29=0..=>.....7x=-1 =>.....x=-1%2F7

+graph%28+600%2C+600%2C+-2%2C+2%2C+-3%2C+5%2C+84x%5E2%2B12x%29+