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

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

Simplifying
-6k2 + 8k + 2 = 4

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

Solving
2 + 8k + -6k2 = 4

Solving for variable 'k'.

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

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

Combine like terms: 4 + -4 = 0
-2 + 8k + -6k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4k + -3k2) = 0

Factor a trinomial.
2((-1 + k)(1 + -3k)) = 0

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

Simplifying
-1 + k = 0

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

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

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

Simplifying
k = 1
Subproblem 2
Set the factor '(1 + -3k)' equal to zero and attempt to solve:

Simplifying
1 + -3k = 0

Solving
1 + -3k = 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 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Solution
k = {1, 0.3333333333}