SOLUTION: Could someone please help with this two step question? 5x+x(x-2)=0 What are the solutions? What are the x-intercepts?

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Question 283100: Could someone please help with this two step question?
5x+x(x-2)=0
What are the solutions?
What are the x-intercepts?
Found 2 solutions by dabanfield, Earlsdon:
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Could someone please help with this two step question?
5x+x(x-2)=0
What are the solutions?
What are the x-intercepts?
5x+x(x-2) = 0
5x+x^2-2x = 0
x^2+3x = 0
x*(x+3) = 0
x=0 or x+3 = 0, so the solution are x =0 and x=-3.
The x-intercepts are the points (x,y) where values of x make y= 5x+x*(x-2) equal to 0. In this case that is (0,0) and (-3,0).

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You could try this:
5x%2Bx%28x-2%29+=+0 Factor an x.
x%285%2B%28x-2%29%29+=+0 Simplify.
x%283%2Bx%29+=+0 Apply the zero product rule: If a*b = 0, then either a = 0, or b = 0, or both, so...
highlight%28x+=+0%29 or 3%2Bx+=+0 and so highlight%28x+=+-3%29
The solutions are: x+=+0 and x+=+-3
The x-intercepts are: (0, 0) and (-3, 0)