3K^2+18K+15=

Solution for 3K^2+18K+15= equation:

Simplifying
3K2 + 18K + 15 = 0

Reorder the terms:
15 + 18K + 3K2 = 0

Solving
15 + 18K + 3K2 = 0

Solving for variable 'K'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 6K + K2) = 0

Factor a trinomial.
3((5 + K)(1 + K)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(5 + K)' equal to zero and attempt to solve:

Simplifying
5 + K = 0

Solving
5 + K = 0

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

Add '-5' to each side of the equation.
5 + -5 + K = 0 + -5

Combine like terms: 5 + -5 = 0
0 + K = 0 + -5
K = 0 + -5

Combine like terms: 0 + -5 = -5
K = -5

Simplifying
K = -5
Subproblem 2
Set the factor '(1 + K)' equal to zero and attempt to solve:

Simplifying
1 + K = 0

Solving
1 + K = 0

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

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

Combine like terms: 1 + -1 = 0
0 + K = 0 + -1
K = 0 + -1

Combine like terms: 0 + -1 = -1
K = -1

Simplifying
K = -1
Solution
K = {-5, -1}