2m^2=2+3m

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

Simplifying
2m2 = 2 + 3m

Solving
2m2 = 2 + 3m

Solving for variable 'm'.

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

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

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

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

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

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

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

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

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-0.5, 2}