SOLUTION: 2x - 3/x + 2/6 = 4/2x

Question 1031440: 2x - 3/x + 2/6 = 4/2x
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2x - 3/x + 2/6 = 4/2x
Multiply everything by a common denominator of 6x
12x^2-18+2x=12.
collect terms
12x^2+2x-30=0
divide by 2
6x^2+x-15=0
x^2+x-90=0, divide the coefficient by 6 and multiply the constant by it.
(x+10)(x-9)=0 factor.
divide the constant by 6 and reduce
(x+(5/3))(x-3/2); now move the denominator in front of the
(3x+5)(2x-3)=0
x=-5/3 and 3/2; neither one of these makes the original denominators 0

Check in original
3-2+2/6=4/3 works
-10/3+9/5+1/3=-12/10=-6/5
-50/15+27/15+5/15==18/15=-6/5; Checks.

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