2m^2=-4m+6m

Solution for 2m^2=-4m+6m equation:

Simplifying
2m2 = -4m + 6m

Combine like terms: -4m + 6m = 2m
2m2 = 2m

Solving
2m2 = 2m

Solving for variable 'm'.

Reorder the terms:
-2m + 2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
-2m + 2m2 = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
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
Solution
m = {0, 1}