SOLUTION: Hello I not sure how to find these answers. 5x+x(x-2)=0 what are the solutions, also need to know what are the x-intercepts, thankyou would really appreciate your help.

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Question 282917: Hello I not sure how to find these answers.
5x+x(x-2)=0 what are the solutions,
also need to know what are the x-intercepts,
thankyou would really appreciate your help.
Bette

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Distribute.


Combine like terms.


Factor out the GCF 'x'.



Now set each factor equal to zero:

or


or Now solve for x in each case


So the solutions are

or


Since the 'x' intercepts of are simply the solutions of , this means that the x-intercepts are (0,0) and (-3,0)

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