k^2+2k-50=0

Solution for k^2+2k-50=0 equation:

Simplifying
k2 + 2k + -50 = 0

Reorder the terms:
-50 + 2k + k2 = 0

Solving
-50 + 2k + k2 = 0

Solving for variable 'k'.

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + 2k + 50 + k2 = 0 + 50

Reorder the terms:
-50 + 50 + 2k + k2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 2k + k2 = 0 + 50
2k + k2 = 0 + 50

Combine like terms: 0 + 50 = 50
2k + k2 = 50

The k term is 2k.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2k + 1 + k2 = 50 + 1

Reorder the terms:
1 + 2k + k2 = 50 + 1

Combine like terms: 50 + 1 = 51
1 + 2k + k2 = 51

Factor a perfect square on the left side:
(k + 1)(k + 1) = 51

Calculate the square root of the right side: 7.141428429

Break this problem into two subproblems by setting 
(k + 1) equal to 7.141428429 and -7.141428429.

Subproblem 1
k + 1 = 7.141428429

Simplifying
k + 1 = 7.141428429

Reorder the terms:
1 + k = 7.141428429

Solving
1 + k = 7.141428429

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + k = 7.141428429 + -1

Combine like terms: 1 + -1 = 0
0 + k = 7.141428429 + -1
k = 7.141428429 + -1

Combine like terms: 7.141428429 + -1 = 6.141428429
k = 6.141428429

Simplifying
k = 6.141428429

Subproblem 2
k + 1 = -7.141428429

Simplifying
k + 1 = -7.141428429

Reorder the terms:
1 + k = -7.141428429

Solving
1 + k = -7.141428429

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + k = -7.141428429 + -1

Combine like terms: 1 + -1 = 0
0 + k = -7.141428429 + -1
k = -7.141428429 + -1

Combine like terms: -7.141428429 + -1 = -8.141428429
k = -8.141428429

Simplifying
k = -8.141428429

Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {6.141428429, -8.141428429}