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

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


Simplifying
m(3 + -4m) = 7 + 4(8 + -1m2)
(3 * m + -4m * m) = 7 + 4(8 + -1m2)
(3m + -4m2) = 7 + 4(8 + -1m2)
3m + -4m2 = 7 + (8 * 4 + -1m2 * 4)
3m + -4m2 = 7 + (32 + -4m2)

Combine like terms: 7 + 32 = 39
3m + -4m2 = 39 + -4m2

Add '4m2' to each side of the equation.
3m + -4m2 + 4m2 = 39 + -4m2 + 4m2

Combine like terms: -4m2 + 4m2 = 0
3m + 0 = 39 + -4m2 + 4m2
3m = 39 + -4m2 + 4m2

Combine like terms: -4m2 + 4m2 = 0
3m = 39 + 0
3m = 39

Solving
3m = 39

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Divide each side by '3'.
m = 13

Simplifying
m = 13

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