-2k^2-8k-4=4

Solution for -2k^2-8k-4=4 equation:

Simplifying
-2k2 + -8k + -4 = 4

Reorder the terms:
-4 + -8k + -2k2 = 4

Solving
-4 + -8k + -2k2 = 4

Solving for variable 'k'.

Reorder the terms:
-4 + -4 + -8k + -2k2 = 4 + -4

Combine like terms: -4 + -4 = -8
-8 + -8k + -2k2 = 4 + -4

Combine like terms: 4 + -4 = 0
-8 + -8k + -2k2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(4 + 4k + k2) = 0

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

Ignore the factor -2.
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}