6m^2=128+8m

Solution for 6m^2=128+8m equation:

Simplifying
6m2 = 128 + 8m

Solving
6m2 = 128 + 8m

Solving for variable 'm'.

Reorder the terms:
-128 + -8m + 6m2 = 128 + 8m + -128 + -8m

Reorder the terms:
-128 + -8m + 6m2 = 128 + -128 + 8m + -8m

Combine like terms: 128 + -128 = 0
-128 + -8m + 6m2 = 0 + 8m + -8m
-128 + -8m + 6m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
-128 + -8m + 6m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-64 + -4m + 3m2) = 0

Factor a trinomial.
2((-4 + -1m)(16 + -3m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4
Subproblem 2
Set the factor '(16 + -3m)' equal to zero and attempt to solve:

Simplifying
16 + -3m = 0

Solving
16 + -3m = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3m = 0 + -16
-3m = 0 + -16

Combine like terms: 0 + -16 = -16
-3m = -16

Divide each side by '-3'.
m = 5.333333333

Simplifying
m = 5.333333333
Solution
m = {-4, 5.333333333}