-m^2-3m=-4m+2-2m^2

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Solution for -m^2-3m=-4m+2-2m^2 equation: 


Simplifying
-1m2 + -3m = -4m + 2 + -2m2

Reorder the terms:
-3m + -1m2 = -4m + 2 + -2m2

Reorder the terms:
-3m + -1m2 = 2 + -4m + -2m2

Solving
-3m + -1m2 = 2 + -4m + -2m2

Solving for variable 'm'.

Reorder the terms:
-2 + -3m + 4m + -1m2 + 2m2 = 2 + -4m + -2m2 + -2 + 4m + 2m2

Combine like terms: -3m + 4m = 1m
-2 + 1m + -1m2 + 2m2 = 2 + -4m + -2m2 + -2 + 4m + 2m2

Combine like terms: -1m2 + 2m2 = 1m2
-2 + 1m + 1m2 = 2 + -4m + -2m2 + -2 + 4m + 2m2

Reorder the terms:
-2 + 1m + 1m2 = 2 + -2 + -4m + 4m + -2m2 + 2m2

Combine like terms: 2 + -2 = 0
-2 + 1m + 1m2 = 0 + -4m + 4m + -2m2 + 2m2
-2 + 1m + 1m2 = -4m + 4m + -2m2 + 2m2

Combine like terms: -4m + 4m = 0
-2 + 1m + 1m2 = 0 + -2m2 + 2m2
-2 + 1m + 1m2 = -2m2 + 2m2

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

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


Subproblem 1
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

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 = {-2, 1}

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