SOLUTION: Solve the equation using the zero-product property. (2x5)(5x-5)=0

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Question 195658: Solve the equation using the zero-product property.
(2x5)(5x-5)=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the equation should be %282x%2B5%29%285x-5%29=0



%282x%2B5%29%285x-5%29=0 Start with the given equation



Now set each factor equal to zero using the zero-product property:

2x%2B5=0 or 5x-5=0


Let's solve the first equation 2x%2B5=0:


2x%2B5=0 Start with the first equation.


2x=0-5 Subtract 5 from both sides.


2x=-5 Combine like terms on the right side.


x=-5%2F2 Divide both sides by 2 to isolate x.


So the first solution is x=-5%2F2

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Now let's solve the second equation 5x-5=0


5x-5=0 Start with the second equation.


5x=0%2B5 Add 5 to both sides.


5x=5 Combine like terms on the right side.


x=%285%29%2F%285%29 Divide both sides by 5 to isolate x.


x=1 Reduce.


So the second solution is x=1



So the solutions are x=-5%2F2 or x=1