4k^2-60k+56=0

Solution for 4k^2-60k+56=0 equation:

Simplifying
4k2 + -60k + 56 = 0

Reorder the terms:
56 + -60k + 4k2 = 0

Solving
56 + -60k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + -15k + k2) = 0

Factor a trinomial.
4((1 + -1k)(14 + -1k)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(14 + -1k)' equal to zero and attempt to solve:

Simplifying
14 + -1k = 0

Solving
14 + -1k = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1k = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1k = 0 + -14
-1k = 0 + -14

Combine like terms: 0 + -14 = -14
-1k = -14

Divide each side by '-1'.
k = 14

Simplifying
k = 14
Solution
k = {1, 14}