k^2+12k-20=

Solution for k^2+12k-20= equation:

Simplifying
k2 + 12k + -20 = 0

Reorder the terms:
-20 + 12k + k2 = 0

Solving
-20 + 12k + k2 = 0

Solving for variable 'k'.

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + 12k + 20 + k2 = 0 + 20

Reorder the terms:
-20 + 20 + 12k + k2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 12k + k2 = 0 + 20
12k + k2 = 0 + 20

Combine like terms: 0 + 20 = 20
12k + k2 = 20

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

Add '36' to each side of the equation.
12k + 36 + k2 = 20 + 36

Reorder the terms:
36 + 12k + k2 = 20 + 36

Combine like terms: 20 + 36 = 56
36 + 12k + k2 = 56

Factor a perfect square on the left side:
(k + 6)(k + 6) = 56

Calculate the square root of the right side: 7.483314774

Break this problem into two subproblems by setting 
(k + 6) equal to 7.483314774 and -7.483314774.

Subproblem 1
k + 6 = 7.483314774

Simplifying
k + 6 = 7.483314774

Reorder the terms:
6 + k = 7.483314774

Solving
6 + k = 7.483314774

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + k = 7.483314774 + -6

Combine like terms: 6 + -6 = 0
0 + k = 7.483314774 + -6
k = 7.483314774 + -6

Combine like terms: 7.483314774 + -6 = 1.483314774
k = 1.483314774

Simplifying
k = 1.483314774

Subproblem 2
k + 6 = -7.483314774

Simplifying
k + 6 = -7.483314774

Reorder the terms:
6 + k = -7.483314774

Solving
6 + k = -7.483314774

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + k = -7.483314774 + -6

Combine like terms: 6 + -6 = 0
0 + k = -7.483314774 + -6
k = -7.483314774 + -6

Combine like terms: -7.483314774 + -6 = -13.483314774
k = -13.483314774

Simplifying
k = -13.483314774

Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {1.483314774, -13.483314774}