SOLUTION: Solve by Factoring: m(m-6)=27

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Question 278242: Solve by Factoring:
m(m-6)=27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
m%28m-6%29=27 Start with the given equation.


m%5E2-6m=27 Distribute


m%5E2-6m-27=0 Subtract 27 from both sides.


%28m-9%29%28m%2B3%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
m-9=0 or m%2B3=0

m=9 or m=-3 Now solve for m in each case


So our answers are

m=9 or m=-3