-6m^2+9m-220=11m-8m^2

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Solution for -6m^2+9m-220=11m-8m^2 equation: 


Simplifying
-6m2 + 9m + -220 = 11m + -8m2

Reorder the terms:
-220 + 9m + -6m2 = 11m + -8m2

Solving
-220 + 9m + -6m2 = 11m + -8m2

Solving for variable 'm'.

Reorder the terms:
-220 + 9m + -11m + -6m2 + 8m2 = 11m + -8m2 + -11m + 8m2

Combine like terms: 9m + -11m = -2m
-220 + -2m + -6m2 + 8m2 = 11m + -8m2 + -11m + 8m2

Combine like terms: -6m2 + 8m2 = 2m2
-220 + -2m + 2m2 = 11m + -8m2 + -11m + 8m2

Reorder the terms:
-220 + -2m + 2m2 = 11m + -11m + -8m2 + 8m2

Combine like terms: 11m + -11m = 0
-220 + -2m + 2m2 = 0 + -8m2 + 8m2
-220 + -2m + 2m2 = -8m2 + 8m2

Combine like terms: -8m2 + 8m2 = 0
-220 + -2m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-110 + -1m + m2) = 0

Factor a trinomial.
2((-10 + -1m)(11 + -1m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve:

Simplifying
-10 + -1m = 0

Solving
-10 + -1m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1m = 0 + 10
-1m = 0 + 10

Combine like terms: 0 + 10 = 10
-1m = 10

Divide each side by '-1'.
m = -10

Simplifying
m = -10

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 = {-10, 11}

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