SOLUTION: Please help me solve this equation: 5/x+4/6-3x=2x/6-3x

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Question 132542: Please help me solve this equation:
5/x+4/6-3x=2x/6-3x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
5%2Fx+%2B+4%2F6+-+3x+=+2x%2F6+-+3x
Right away I see that x can never be 0
because division by 0 is not allowed
multiply both sides by 6x
30+%2B+4x+-+18+=+2x%5E2+-+18x%5E2
Combine terms
4x+%2B+12+=+-+16x%5E2
Add 16x%5E2 to both sides
16x%5E2+%2B+4x+%2B+12+=+0
Divide both sides by 4
4x%5E2+%2B+x+%2B+3+=+0
solve using quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A4%2A3+%29%29%2F%282%2A4%29+
x+=+%28-1+%2B-+sqrt%28+-47+%29%29%2F8+
x+=+%28-1+%2B+sqrt%2847%29%2Ai%29%2F8+ answer
x+=+%28-1+-+sqrt%2847%29%2Ai%29%2F8+ answer