2m^2-16m=2m-40

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Solution for 2m^2-16m=2m-40 equation: 


Simplifying
2m2 + -16m = 2m + -40

Reorder the terms:
-16m + 2m2 = 2m + -40

Reorder the terms:
-16m + 2m2 = -40 + 2m

Solving
-16m + 2m2 = -40 + 2m

Solving for variable 'm'.

Reorder the terms:
40 + -16m + -2m + 2m2 = -40 + 2m + 40 + -2m

Combine like terms: -16m + -2m = -18m
40 + -18m + 2m2 = -40 + 2m + 40 + -2m

Reorder the terms:
40 + -18m + 2m2 = -40 + 40 + 2m + -2m

Combine like terms: -40 + 40 = 0
40 + -18m + 2m2 = 0 + 2m + -2m
40 + -18m + 2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
40 + -18m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -9m + m2) = 0

Factor a trinomial.
2((4 + -1m)(5 + -1m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

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

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

Divide each side by '-1'.
m = 4

Simplifying
m = 4

Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {4, 5}

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