k^2-22k+105=0

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Solution for k^2-22k+105=0 equation: 


Simplifying
k2 + -22k + 105 = 0

Reorder the terms:
105 + -22k + k2 = 0

Solving
105 + -22k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(7 + -1k)(15 + -1k) = 0


Subproblem 1
Set the factor '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7

Subproblem 2
Set the factor '(15 + -1k)' equal to zero and attempt to solve:

Simplifying
15 + -1k = 0

Solving
15 + -1k = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1k = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1k = 0 + -15
-1k = 0 + -15

Combine like terms: 0 + -15 = -15
-1k = -15

Divide each side by '-1'.
k = 15

Simplifying
k = 15
Solution
k = {7, 15}

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