m^2-12m-12=0

Solution for m^2-12m-12=0 equation:

Simplifying
m2 + -12m + -12 = 0

Reorder the terms:
-12 + -12m + m2 = 0

Solving
-12 + -12m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -12m + 12 + m2 = 0 + 12

Reorder the terms:
-12 + 12 + -12m + m2 = 0 + 12

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

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

The m term is -12m.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12m + 36 + m2 = 12 + 36

Reorder the terms:
36 + -12m + m2 = 12 + 36

Combine like terms: 12 + 36 = 48
36 + -12m + m2 = 48

Factor a perfect square on the left side:
(m + -6)(m + -6) = 48

Calculate the square root of the right side: 6.92820323

Break this problem into two subproblems by setting 
(m + -6) equal to 6.92820323 and -6.92820323.

Subproblem 1
m + -6 = 6.92820323

Simplifying
m + -6 = 6.92820323

Reorder the terms:
-6 + m = 6.92820323

Solving
-6 + m = 6.92820323

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + m = 6.92820323 + 6

Combine like terms: -6 + 6 = 0
0 + m = 6.92820323 + 6
m = 6.92820323 + 6

Combine like terms: 6.92820323 + 6 = 12.92820323
m = 12.92820323

Simplifying
m = 12.92820323

Subproblem 2
m + -6 = -6.92820323

Simplifying
m + -6 = -6.92820323

Reorder the terms:
-6 + m = -6.92820323

Solving
-6 + m = -6.92820323

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + m = -6.92820323 + 6

Combine like terms: -6 + 6 = 0
0 + m = -6.92820323 + 6
m = -6.92820323 + 6

Combine like terms: -6.92820323 + 6 = -0.92820323
m = -0.92820323

Simplifying
m = -0.92820323

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {12.92820323, -0.92820323}