8k^2-4k-6=-2

Solution for 8k^2-4k-6=-2 equation:

Simplifying
8k2 + -4k + -6 = -2

Reorder the terms:
-6 + -4k + 8k2 = -2

Solving
-6 + -4k + 8k2 = -2

Solving for variable 'k'.

Reorder the terms:
-6 + 2 + -4k + 8k2 = -2 + 2

Combine like terms: -6 + 2 = -4
-4 + -4k + 8k2 = -2 + 2

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

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -1k + 2k2) = 0

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

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

Simplifying
-1 + -2k = 0

Solving
-1 + -2k = 0

Move all terms containing k to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -2k = 0 + 1

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

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

Divide each side by '-2'.
k = -0.5

Simplifying
k = -0.5
Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

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

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

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

Simplifying
k = 1
Solution
k = {-0.5, 1}