6k^2-12k-50=-2

Solution for 6k^2-12k-50=-2 equation:

Simplifying
6k2 + -12k + -50 = -2

Reorder the terms:
-50 + -12k + 6k2 = -2

Solving
-50 + -12k + 6k2 = -2

Solving for variable 'k'.

Reorder the terms:
-50 + 2 + -12k + 6k2 = -2 + 2

Combine like terms: -50 + 2 = -48
-48 + -12k + 6k2 = -2 + 2

Combine like terms: -2 + 2 = 0
-48 + -12k + 6k2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + -2k + k2) = 0

Factor a trinomial.
6((-2 + -1k)(4 + -1k)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

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

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

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {-2, 4}