-3=-6m+3m^2

Solution for -3=-6m+3m^2 equation:

Simplifying
-3 = -6m + 3m2

Solving
-3 = -6m + 3m2

Solving for variable 'm'.

Reorder the terms:
-3 + 6m + -3m2 = -6m + 6m + 3m2 + -3m2

Combine like terms: -6m + 6m = 0
-3 + 6m + -3m2 = 0 + 3m2 + -3m2
-3 + 6m + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-3 + 6m + -3m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 2m + -1m2) = 0

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

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

Simplifying
-1 + m = 0

Solving
-1 + m = 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 + m = 0 + 1

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

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

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

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

Simplifying
m = 1
Solution
m = {1, 1}