0=242-44m+2m^2

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Solution for 0=242-44m+2m^2 equation: 


Simplifying
0 = 242 + -44m + 2m2

Solving
0 = 242 + -44m + 2m2

Solving for variable 'm'.

Combine like terms: 0 + -242 = -242
-242 + 44m + -2m2 = 242 + -44m + 2m2 + -242 + 44m + -2m2

Reorder the terms:
-242 + 44m + -2m2 = 242 + -242 + -44m + 44m + 2m2 + -2m2

Combine like terms: 242 + -242 = 0
-242 + 44m + -2m2 = 0 + -44m + 44m + 2m2 + -2m2
-242 + 44m + -2m2 = -44m + 44m + 2m2 + -2m2

Combine like terms: -44m + 44m = 0
-242 + 44m + -2m2 = 0 + 2m2 + -2m2
-242 + 44m + -2m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
-242 + 44m + -2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-121 + 22m + -1m2) = 0

Factor a trinomial.
2((-11 + m)(11 + -1m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-11 + m)' equal to zero and attempt to solve:

Simplifying
-11 + m = 0

Solving
-11 + m = 0

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

Add '11' to each side of the equation.
-11 + 11 + m = 0 + 11

Combine like terms: -11 + 11 = 0
0 + m = 0 + 11
m = 0 + 11

Combine like terms: 0 + 11 = 11
m = 11

Simplifying
m = 11

Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {11, 11}

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