SOLUTION: 4x/x-5 + 2/x = -4/x-5 I understand that the LCD is x(x-5) but then I get stuck

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Question 234394: 4x/x-5 + 2/x = -4/x-5
I understand that the LCD is x(x-5) but then I get stuck

Found 2 solutions by user_dude2008, josmiceli:
Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
4x/x-5 + 2/x = -4/x-5

Multiply every term by LCD x(x-5)

4x*x + 2(x-5) = -4x

4x^2 + 2(x-5) = -4x

4x^2 + 2x-10 = -4x

4x^2 + 2x-10 +4x = 0

4x^2 +6x -10=0

2(2x+5)(x-1) =0

2x+5=0 or x-1=0

x=-5/2 or x=1 <--------- Answers

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
If you multiply both sides by , the
equation will still be true






Use the quadratic formula to solve









and


You can check these 2 solutions by plugging back into
the original equation

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