-6k^2+6k+6=6

Solution for -6k^2+6k+6=6 equation:

Simplifying
-6k2 + 6k + 6 = 6

Reorder the terms:
6 + 6k + -6k2 = 6

Add '-6' to each side of the equation.
6 + 6k + -6 + -6k2 = 6 + -6

Reorder the terms:
6 + -6 + 6k + -6k2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 6k + -6k2 = 6 + -6
6k + -6k2 = 6 + -6

Combine like terms: 6 + -6 = 0
6k + -6k2 = 0

Solving
6k + -6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6k'.
6k(1 + -1k) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
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, 1}