SOLUTION: help me solve (6/x-2)-(3/x)=(-5/x-4)

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Question 410568: help me solve (6/x-2)-(3/x)=(-5/x-4)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%286%2Fx-2%29-%283%2Fx%29=%28-5%2Fx-4%29
Multiply both sides by x%2A%28x-2%29%2A%28x-4%29
6%2Ax%2A%28x-4%29+-+3%2A%28x+-+2%29%2A%28x+-+4%29+=+%28-5%29%2Ax%2A%28x+-+2%29
6x%5E2+-+24x+-+3%2A%28x%5E2+-+2x+-+4x+%2B+8%29+=+-5x%5E2+%2B+10x
+6x%5E2+-+24x+-+3x%5E2+%2B+6x+%2B+12x+-+24+=+-5x%5E2+%2B+10x
3x%5E2+-+6x+-+24+=+-5x%5E2+%2B+10x
8x%5E2+-+16x+-+24+=+0
x%5E2+-+2x+-+3+=+0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+1
b+=+-2
c+=+-3
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+
x+=+%28+2+%2B-+sqrt%28+4+%2B+12+%29%29%2F+2+
x+=+%28+2+%2B+4%29%2F+2+
x+=+3
and
x+=+%28+2+-+4%29%2F+2+
x+=+-1
I'll check for x+=+-1
+%286%2Fx-2%29-%283%2Fx%29=%28-5%2Fx-4%29
+%286%2F%28-1-2%29%29-%283%2F%28-1%29%29=%28-5%2F%28-1%29-4%29
+-2+%2B+3+=+-5%2F%28-5%29
1+=+1
OK