k^2-10k-56=0

Solution for k^2-10k-56=0 equation:

Simplifying
k2 + -10k + -56 = 0

Reorder the terms:
-56 + -10k + k2 = 0

Solving
-56 + -10k + k2 = 0

Solving for variable 'k'.

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

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

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4
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 = {-4, 14}