3k^2+22k+26=2

Solution for 3k^2+22k+26=2 equation:

Simplifying
3k2 + 22k + 26 = 2

Reorder the terms:
26 + 22k + 3k2 = 2

Solving
26 + 22k + 3k2 = 2

Solving for variable 'k'.

Reorder the terms:
26 + -2 + 22k + 3k2 = 2 + -2

Combine like terms: 26 + -2 = 24
24 + 22k + 3k2 = 2 + -2

Combine like terms: 2 + -2 = 0
24 + 22k + 3k2 = 0

Factor a trinomial.
(6 + k)(4 + 3k) = 0

Subproblem 1
Set the factor '(6 + k)' equal to zero and attempt to solve:

Simplifying
6 + k = 0

Solving
6 + k = 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 + k = 0 + -6

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

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

Simplifying
k = -6
Subproblem 2
Set the factor '(4 + 3k)' equal to zero and attempt to solve:

Simplifying
4 + 3k = 0

Solving
4 + 3k = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3k = 0 + -4
3k = 0 + -4

Combine like terms: 0 + -4 = -4
3k = -4

Divide each side by '3'.
k = -1.333333333

Simplifying
k = -1.333333333
Solution
k = {-6, -1.333333333}