SOLUTION: (3/x) + (5/x + 2) = 2;

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Question 892085: (3/x) + (5/x + 2) = 2;
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Lowest common denominator is x, so multiply both members by x.

%283%2Fx%29x+%2B+%285%2Fx+%2B+2%29x+=+x%2A2
3%2B5%2B2x=2x
The variable x cannot be isolated to find a solution!
NO SOLUTION.

Try differently:
%283%2Fx%29+%2B+%285%2Fx+%2B+2%29+=+2
3%2Fx%2B5%2Fx%2B2=2
3%2Fx%2B5%2Fx=0
8%2Fx=0, IMPOSSIBLE.
NO SOLUTION.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

(3/x) + (5/x + 2) = 2;


If this is: 3%2Fx+%2B+5%2F%28x+%2B+2%29+=+2? Then x+%3C%3E+0, and x+%3C%3E+-+2, and:

3(x + 2) + 5x = 2(x)(x + 2) ------- Multiplying by LCD, x(x + 2)

3x+%2B+6+%2B+5x+=+2x%5E2+%2B+4x

8x+%2B+6+=+2x%5E2+%2B+4x

2x%5E2+%2B+4x+-+8x+-+6+=+0

2x%5E2+-+4x+-+6+=+0

2%28x%5E2+-+2x+-+3%29+=+2%280%29

x%5E2+-+2x+-+3+=+0

(x - 3)(x + 1) = 0

highlight_green%28x+=+3%29          OR            highlight_green%28x+=+-+1%29