m(3-4m)=4(8-m^2)+7

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Solution for m(3-4m)=4(8-m^2)+7 equation: 



m(3-4m)=4(8-m^2)+7

We move all terms to the left:

m(3-4m)-(4(8-m^2)+7)=0

We add all the numbers together, and all the variables

-(4(8-m^2)+7)+m(-4m+3)=0

We multiply parentheses

-(4(8-m^2)+7)-4m^2+3m=0



We calculate terms in parentheses: -(4(8-m^2)+7), so:

4(8-m^2)+7

We multiply parentheses

-4m^2+32+7

We add all the numbers together, and all the variables

-4m^2+39

Back to the equation:

-(-4m^2+39)



We add all the numbers together, and all the variables

-4m^2-(-4m^2+39)+3m=0

We get rid of parentheses

-4m^2+4m^2+3m-39=0

We add all the numbers together, and all the variables

3m-39=0

We move all terms containing m to the left, all other terms to the right

3m=39

m=39/3

m=13

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