3k^2-26k+50=2

Solution for 3k^2-26k+50=2 equation:

Simplifying
3k2 + -26k + 50 = 2

Reorder the terms:
50 + -26k + 3k2 = 2

Solving
50 + -26k + 3k2 = 2

Solving for variable 'k'.

Reorder the terms:
50 + -2 + -26k + 3k2 = 2 + -2

Combine like terms: 50 + -2 = 48
48 + -26k + 3k2 = 2 + -2

Combine like terms: 2 + -2 = 0
48 + -26k + 3k2 = 0

Factor a trinomial.
(8 + -3k)(6 + -1k) = 0

Subproblem 1
Set the factor '(8 + -3k)' equal to zero and attempt to solve:

Simplifying
8 + -3k = 0

Solving
8 + -3k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3k = 0 + -8
-3k = 0 + -8

Combine like terms: 0 + -8 = -8
-3k = -8

Divide each side by '-3'.
k = 2.666666667

Simplifying
k = 2.666666667
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {2.666666667, 6}