0=k^2-12k+20

Solution for 0=k^2-12k+20 equation:

Simplifying
0 = k2 + -12k + 20

Reorder the terms:
0 = 20 + -12k + k2

Solving
0 = 20 + -12k + k2

Solving for variable 'k'.

Combine like terms: 0 + -20 = -20
-20 + 12k + -1k2 = 20 + -12k + k2 + -20 + 12k + -1k2

Reorder the terms:
-20 + 12k + -1k2 = 20 + -20 + -12k + 12k + k2 + -1k2

Combine like terms: 20 + -20 = 0
-20 + 12k + -1k2 = 0 + -12k + 12k + k2 + -1k2
-20 + 12k + -1k2 = -12k + 12k + k2 + -1k2

Combine like terms: -12k + 12k = 0
-20 + 12k + -1k2 = 0 + k2 + -1k2
-20 + 12k + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
-20 + 12k + -1k2 = 0

Factor a trinomial.
(-10 + k)(2 + -1k) = 0

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

Simplifying
-10 + k = 0

Solving
-10 + k = 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 + k = 0 + 10

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

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

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

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {10, 2}