SOLUTION: Solve the equation: 3x/(x-4)=-x I have worked it down to x^2 = x, however I'm not sure if the answer is sqrtX and it really confuses me if I try to plug it into the regular e

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the equation: 3x/(x-4)=-x I have worked it down to x^2 = x, however I'm not sure if the answer is sqrtX and it really confuses me if I try to plug it into the regular e      Log On


   

Question 21466: Solve the equation:
3x/(x-4)=-x
I have worked it down to x^2 = x, however I'm not sure if the answer is sqrtX and it really confuses me if I try to plug it into the regular equation.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
3x%2F%28x-4%29+=+-x Divide both sides by -x.
-3%2F%28x-4%29+=+1 Multiply both sides by (x-4)
-3+=+%28x-4%29 Add 4 to both sides.
-3%2B4+=+x
x+=+1
Check:
3%281%29%2F%281-4%29+=+3%2F-3 = +-1