SOLUTION: Please solve |x^2+3x|=|x^2-2x|

Algebra ->  Absolute-value -> SOLUTION: Please solve |x^2+3x|=|x^2-2x|      Log On


   

Question 909908: Please solve |x^2+3x|=|x^2-2x|
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
removing the absolute vale leads to
case 1:
x%5E2%2B3x=x%5E2-2x or
case 2:
x%5E2%2B3x=-%28x%5E2-2x%29

case 1:

3x=-2x
5x=0
x=0

case 2:
x%5E2%2B3x=-x%5E2%2B2x
2x%5E2%2Bx=0
x=0 or x=-1%2F2

solutions: {0, -1/2}