SOLUTION: how is this problem done in factoring xy^2-7xy+10x

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Question 209268: how is this problem done in factoring
xy^2-7xy+10x
Answer by 20062042(2) About Me  (Show Source):
You can put this solution on YOUR website!
First, factor out x
x(y^2 - 7y + 10)
Factor what is in parenthesis
x(y-5)(y-2)
set each one equal to zero
x=0
y-5=0, so y=5
y-2=0, so y=2
Your solutions are x=0, y=5, and y=2