(m+3)(m-4)=(m-2)(m+5)

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Solution for (m+3)(m-4)=(m-2)(m+5) equation:



(m+3)(m-4)=(m-2)(m+5)
We move all terms to the left:
(m+3)(m-4)-((m-2)(m+5))=0
We multiply parentheses ..
(+m^2-4m+3m-12)-((m-2)(m+5))=0
We calculate terms in parentheses: -((m-2)(m+5)), so:
(m-2)(m+5)
We multiply parentheses ..
(+m^2+5m-2m-10)
We get rid of parentheses
m^2+5m-2m-10
We add all the numbers together, and all the variables
m^2+3m-10
Back to the equation:
-(m^2+3m-10)
We get rid of parentheses
m^2-m^2-4m+3m-3m-12+10=0
We add all the numbers together, and all the variables
-4m-2=0
We move all terms containing m to the left, all other terms to the right
-4m=2
m=2/-4
m=-1/2

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