k^2+2k-6=-6

Solution for k^2+2k-6=-6 equation:

Simplifying
k2 + 2k + -6 = -6

Reorder the terms:
-6 + 2k + k2 = -6

Add '6' to each side of the equation.
-6 + 2k + 6 + k2 = -6 + 6

Reorder the terms:
-6 + 6 + 2k + k2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + 2k + k2 = -6 + 6
2k + k2 = -6 + 6

Combine like terms: -6 + 6 = 0
2k + k2 = 0

Solving
2k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(2 + k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

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

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

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

Simplifying
k = -2
Solution
k = {0, -2}