m^2-12m-80=5

Solution for m^2-12m-80=5 equation:

Simplifying
m2 + -12m + -80 = 5

Reorder the terms:
-80 + -12m + m2 = 5

Solving
-80 + -12m + m2 = 5

Solving for variable 'm'.

Reorder the terms:
-80 + -5 + -12m + m2 = 5 + -5

Combine like terms: -80 + -5 = -85
-85 + -12m + m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-85 + -12m + m2 = 0

Factor a trinomial.
(-5 + -1m)(17 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(17 + -1m)' equal to zero and attempt to solve:

Simplifying
17 + -1m = 0

Solving
17 + -1m = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1m = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1m = 0 + -17
-1m = 0 + -17

Combine like terms: 0 + -17 = -17
-1m = -17

Divide each side by '-1'.
m = 17

Simplifying
m = 17
Solution
m = {-5, 17}