108m^2-36m+3=

Solution for 108m^2-36m+3= equation:

Simplifying
108m2 + -36m + 3 = 0

Reorder the terms:
3 + -36m + 108m2 = 0

Solving
3 + -36m + 108m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -12m + 36m2) = 0

Factor a trinomial.
3((1 + -6m)(1 + -6m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -6m)' equal to zero and attempt to solve:

Simplifying
1 + -6m = 0

Solving
1 + -6m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6m = 0 + -1
-6m = 0 + -1

Combine like terms: 0 + -1 = -1
-6m = -1

Divide each side by '-6'.
m = 0.1666666667

Simplifying
m = 0.1666666667
Subproblem 2
Set the factor '(1 + -6m)' equal to zero and attempt to solve:

Simplifying
1 + -6m = 0

Solving
1 + -6m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6m = 0 + -1
-6m = 0 + -1

Combine like terms: 0 + -1 = -1
-6m = -1

Divide each side by '-6'.
m = 0.1666666667

Simplifying
m = 0.1666666667
Solution
m = {0.1666666667, 0.1666666667}