-2k^2+8k-12=-4

Solution for -2k^2+8k-12=-4 equation:

Simplifying
-2k2 + 8k + -12 = -4

Reorder the terms:
-12 + 8k + -2k2 = -4

Solving
-12 + 8k + -2k2 = -4

Solving for variable 'k'.

Reorder the terms:
-12 + 4 + 8k + -2k2 = -4 + 4

Combine like terms: -12 + 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 + -1k2) = 0

Factor a trinomial.
2((-2 + k)(2 + -1k)) = 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 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 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 + -1k = 0 + -2

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

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

Divide each side by '-1'.
k = 2

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