0=8k^2-14k+6

Solution for 0=8k^2-14k+6 equation:

Simplifying
0 = 8k2 + -14k + 6

Reorder the terms:
0 = 6 + -14k + 8k2

Solving
0 = 6 + -14k + 8k2

Solving for variable 'k'.

Combine like terms: 0 + -6 = -6
-6 + 14k + -8k2 = 6 + -14k + 8k2 + -6 + 14k + -8k2

Reorder the terms:
-6 + 14k + -8k2 = 6 + -6 + -14k + 14k + 8k2 + -8k2

Combine like terms: 6 + -6 = 0
-6 + 14k + -8k2 = 0 + -14k + 14k + 8k2 + -8k2
-6 + 14k + -8k2 = -14k + 14k + 8k2 + -8k2

Combine like terms: -14k + 14k = 0
-6 + 14k + -8k2 = 0 + 8k2 + -8k2
-6 + 14k + -8k2 = 8k2 + -8k2

Combine like terms: 8k2 + -8k2 = 0
-6 + 14k + -8k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 7k + -4k2) = 0

Factor a trinomial.
2((-1 + k)(3 + -4k)) = 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 '(3 + -4k)' equal to zero and attempt to solve:

Simplifying
3 + -4k = 0

Solving
3 + -4k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4k = 0 + -3
-4k = 0 + -3

Combine like terms: 0 + -3 = -3
-4k = -3

Divide each side by '-4'.
k = 0.75

Simplifying
k = 0.75
Solution
k = {1, 0.75}