8k^2-16k-6=4

Solution for 8k^2-16k-6=4 equation:

Simplifying
8k2 + -16k + -6 = 4

Reorder the terms:
-6 + -16k + 8k2 = 4

Solving
-6 + -16k + 8k2 = 4

Solving for variable 'k'.

Reorder the terms:
-6 + -4 + -16k + 8k2 = 4 + -4

Combine like terms: -6 + -4 = -10
-10 + -16k + 8k2 = 4 + -4

Combine like terms: 4 + -4 = 0
-10 + -16k + 8k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -8k + 4k2) = 0

Factor a trinomial.
2((-1 + -2k)(5 + -2k)) = 0

Ignore the factor 2.
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 '(5 + -2k)' equal to zero and attempt to solve:

Simplifying
5 + -2k = 0

Solving
5 + -2k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2k = 0 + -5
-2k = 0 + -5

Combine like terms: 0 + -5 = -5
-2k = -5

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5
Solution
k = {-0.5, 2.5}