3m^2+32m+64=0

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Solution for 3m^2+32m+64=0 equation: 


Simplifying
3m2 + 32m + 64 = 0

Reorder the terms:
64 + 32m + 3m2 = 0

Solving
64 + 32m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + m)(8 + 3m) = 0


Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m = 0 + -8
m = 0 + -8

Combine like terms: 0 + -8 = -8
m = -8

Simplifying
m = -8

Subproblem 2
Set the factor '(8 + 3m)' equal to zero and attempt to solve:

Simplifying
8 + 3m = 0

Solving
8 + 3m = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3m = 0 + -8
3m = 0 + -8

Combine like terms: 0 + -8 = -8
3m = -8

Divide each side by '3'.
m = -2.666666667

Simplifying
m = -2.666666667
Solution
m = {-8, -2.666666667}

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