k^2+5k+6=(k+2)

Solution for k^2+5k+6=(k+2) equation:

Simplifying
k2 + 5k + 6 = (k + 2)

Reorder the terms:
6 + 5k + k2 = (k + 2)

Reorder the terms:
6 + 5k + k2 = (2 + k)

Remove parenthesis around (2 + k)
6 + 5k + k2 = 2 + k

Solving
6 + 5k + k2 = 2 + k

Solving for variable 'k'.

Reorder the terms:
6 + -2 + 5k + -1k + k2 = 2 + k + -2 + -1k

Combine like terms: 6 + -2 = 4
4 + 5k + -1k + k2 = 2 + k + -2 + -1k

Combine like terms: 5k + -1k = 4k
4 + 4k + k2 = 2 + k + -2 + -1k

Reorder the terms:
4 + 4k + k2 = 2 + -2 + k + -1k

Combine like terms: 2 + -2 = 0
4 + 4k + k2 = 0 + k + -1k
4 + 4k + k2 = k + -1k

Combine like terms: k + -1k = 0
4 + 4k + k2 = 0

Factor a trinomial.
(2 + k)(2 + k) = 0

Subproblem 1
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
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 = {-2, -2}