0=2m-m^2+80

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Solution for 0=2m-m^2+80 equation: 


Simplifying
0 = 2m + -1m2 + 80

Reorder the terms:
0 = 80 + 2m + -1m2

Solving
0 = 80 + 2m + -1m2

Solving for variable 'm'.

Combine like terms: 0 + -80 = -80
-80 + -2m + m2 = 80 + 2m + -1m2 + -80 + -2m + m2

Reorder the terms:
-80 + -2m + m2 = 80 + -80 + 2m + -2m + -1m2 + m2

Combine like terms: 80 + -80 = 0
-80 + -2m + m2 = 0 + 2m + -2m + -1m2 + m2
-80 + -2m + m2 = 2m + -2m + -1m2 + m2

Combine like terms: 2m + -2m = 0
-80 + -2m + m2 = 0 + -1m2 + m2
-80 + -2m + m2 = -1m2 + m2

Combine like terms: -1m2 + m2 = 0
-80 + -2m + m2 = 0

Factor a trinomial.
(-8 + -1m)(10 + -1m) = 0


Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 2
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
Solution
m = {-8, 10}

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