k^2-23k+130=0

Solution for k^2-23k+130=0 equation:

Simplifying
k2 + -23k + 130 = 0

Reorder the terms:
130 + -23k + k2 = 0

Solving
130 + -23k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(10 + -1k)(13 + -1k) = 0

Subproblem 1
Set the factor '(10 + -1k)' equal to zero and attempt to solve:

Simplifying
10 + -1k = 0

Solving
10 + -1k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10
Subproblem 2
Set the factor '(13 + -1k)' equal to zero and attempt to solve:

Simplifying
13 + -1k = 0

Solving
13 + -1k = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1k = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1k = 0 + -13
-1k = 0 + -13

Combine like terms: 0 + -13 = -13
-1k = -13

Divide each side by '-1'.
k = 13

Simplifying
k = 13
Solution
k = {10, 13}