3m^2=1-2m

Solution for 3m^2=1-2m equation:

Simplifying
3m2 = 1 + -2m

Solving
3m2 = 1 + -2m

Solving for variable 'm'.

Reorder the terms:
-1 + 2m + 3m2 = 1 + -2m + -1 + 2m

Reorder the terms:
-1 + 2m + 3m2 = 1 + -1 + -2m + 2m

Combine like terms: 1 + -1 = 0
-1 + 2m + 3m2 = 0 + -2m + 2m
-1 + 2m + 3m2 = -2m + 2m

Combine like terms: -2m + 2m = 0
-1 + 2m + 3m2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve:

Simplifying
1 + -3m = 0

Solving
1 + -3m = 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 + -3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3m = 0 + -1
-3m = 0 + -1

Combine like terms: 0 + -1 = -1
-3m = -1

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {-1, 0.3333333333}