k^2-26k+168=0

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Solution for k^2-26k+168=0 equation: 


Simplifying
k2 + -26k + 168 = 0

Reorder the terms:
168 + -26k + k2 = 0

Solving
168 + -26k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(12 + -1k)(14 + -1k) = 0


Subproblem 1
Set the factor '(12 + -1k)' equal to zero and attempt to solve:

Simplifying
12 + -1k = 0

Solving
12 + -1k = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1k = 0 + -12

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

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

Divide each side by '-1'.
k = 12

Simplifying
k = 12

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 = {12, 14}

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