k^2+4k+6=6

Solution for k^2+4k+6=6 equation:

Simplifying
k2 + 4k + 6 = 6

Reorder the terms:
6 + 4k + k2 = 6

Add '-6' to each side of the equation.
6 + 4k + -6 + k2 = 6 + -6

Reorder the terms:
6 + -6 + 4k + k2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 4k + k2 = 6 + -6
4k + k2 = 6 + -6

Combine like terms: 6 + -6 = 0
4k + k2 = 0

Solving
4k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(4 + 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 '(4 + k)' equal to zero and attempt to solve:

Simplifying
4 + k = 0

Solving
4 + k = 0

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

Add '-4' to each side of the equation.
4 + -4 + k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + k = 0 + -4
k = 0 + -4

Combine like terms: 0 + -4 = -4
k = -4

Simplifying
k = -4
Solution
k = {0, -4}