3m(4m+1)=12(m^2-8)

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Solution for 3m(4m+1)=12(m^2-8) equation: 


Simplifying
3m(4m + 1) = 12(m2 + -8)

Reorder the terms:
3m(1 + 4m) = 12(m2 + -8)
(1 * 3m + 4m * 3m) = 12(m2 + -8)
(3m + 12m2) = 12(m2 + -8)

Reorder the terms:
3m + 12m2 = 12(-8 + m2)
3m + 12m2 = (-8 * 12 + m2 * 12)
3m + 12m2 = (-96 + 12m2)

Add '-12m2' to each side of the equation.
3m + 12m2 + -12m2 = -96 + 12m2 + -12m2

Combine like terms: 12m2 + -12m2 = 0
3m + 0 = -96 + 12m2 + -12m2
3m = -96 + 12m2 + -12m2

Combine like terms: 12m2 + -12m2 = 0
3m = -96 + 0
3m = -96

Solving
3m = -96

Solving for variable 'm'.

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

Divide each side by '3'.
m = -32

Simplifying
m = -32

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