4k^2+26k+36=

Solution for 4k^2+26k+36= equation:

Simplifying
4k2 + 26k + 36 = 0

Reorder the terms:
36 + 26k + 4k2 = 0

Solving
36 + 26k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 13k + 2k2) = 0

Factor a trinomial.
2((9 + 2k)(2 + k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(9 + 2k)' equal to zero and attempt to solve:

Simplifying
9 + 2k = 0

Solving
9 + 2k = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2k = 0 + -9
2k = 0 + -9

Combine like terms: 0 + -9 = -9
2k = -9

Divide each side by '2'.
k = -4.5

Simplifying
k = -4.5
Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {-4.5, -2}