0=1-2m^2+m

Solution for 0=1-2m^2+m equation:

Simplifying
0 = 1 + -2m2 + m

Reorder the terms:
0 = 1 + m + -2m2

Solving
0 = 1 + m + -2m2

Solving for variable 'm'.

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

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

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

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

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

Factor a trinomial.
(-1 + -2m)(1 + -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 '(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 = {-0.5, 1}