-2m^2-3m+1=2

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

Simplifying
-2m2 + -3m + 1 = 2

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

Solving
1 + -3m + -2m2 = 2

Solving for variable 'm'.

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

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

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

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

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

Ignore the factor -1.
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 + 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
Solution
m = {-1, -0.5}