k^2+100=20k

Solution for k^2+100=20k equation:

Simplifying
k2 + 100 = 20k

Reorder the terms:
100 + k2 = 20k

Solving
100 + k2 = 20k

Solving for variable 'k'.

Reorder the terms:
100 + -20k + k2 = 20k + -20k

Combine like terms: 20k + -20k = 0
100 + -20k + k2 = 0

Factor a trinomial.
(10 + -1k)(10 + -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 '(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
Solution
k = {10, 10}