2k^2+9k+18=-3k

Solution for 2k^2+9k+18=-3k equation:

Simplifying
2k2 + 9k + 18 = -3k

Reorder the terms:
18 + 9k + 2k2 = -3k

Solving
18 + 9k + 2k2 = -3k

Solving for variable 'k'.

Reorder the terms:
18 + 9k + 3k + 2k2 = -3k + 3k

Combine like terms: 9k + 3k = 12k
18 + 12k + 2k2 = -3k + 3k

Combine like terms: -3k + 3k = 0
18 + 12k + 2k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 6k + k2) = 0

Factor a trinomial.
2((3 + k)(3 + k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + k)' equal to zero and attempt to solve:

Simplifying
3 + k = 0

Solving
3 + k = 0

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

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

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

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

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

Simplifying
3 + k = 0

Solving
3 + k = 0

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

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

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

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

Simplifying
k = -3
Solution
k = {-3, -3}