Question 877545: 3x/5 + 4/x = 4x/5 + 1/5 I need to find x and we need to show how we got the answer Found 2 solutions by Alan3354, lwsshak3:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 3x/5 + 4/x = 4x/5 + 1/5
multiply each term by LCD=5x
3x^2+20=4x^2+x
place x-terms on the left and numbers on the right
4x^2+x-3x^2=20
combine like terms
x^2+x=20
add -20 to both sides, setting expression=0
x^2+x-20=0
factor:
(x+5)(x-5)=0
x+5=0
x=-5
or
x-5=0
x=5
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