8k^2-8k=-2

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

Simplifying
8k2 + -8k = -2

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

Solving
-8k + 8k2 = -2

Solving for variable 'k'.

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

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

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

Factor a trinomial.
2((1 + -2k)(1 + -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 '(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
Solution
k = {0.5, 0.5}