k^2+4k=-4

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

Simplifying
k2 + 4k = -4

Reorder the terms:
4k + k2 = -4

Solving
4k + k2 = -4

Solving for variable 'k'.

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

Combine like terms: -4 + 4 = 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}