10k^2+27k+18=

Solution for 10k^2+27k+18= equation:

Simplifying
10k2 + 27k + 18 = 0

Reorder the terms:
18 + 27k + 10k2 = 0

Solving
18 + 27k + 10k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + 2k)(6 + 5k) = 0

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

Simplifying
3 + 2k = 0

Solving
3 + 2k = 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 + 2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2k = 0 + -3
2k = 0 + -3

Combine like terms: 0 + -3 = -3
2k = -3

Divide each side by '2'.
k = -1.5

Simplifying
k = -1.5
Subproblem 2
Set the factor '(6 + 5k)' equal to zero and attempt to solve:

Simplifying
6 + 5k = 0

Solving
6 + 5k = 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 + 5k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5k = 0 + -6
5k = 0 + -6

Combine like terms: 0 + -6 = -6
5k = -6

Divide each side by '5'.
k = -1.2

Simplifying
k = -1.2
Solution
k = {-1.5, -1.2}