7k^2+30k+27=0

Solution for 7k^2+30k+27=0 equation:

Simplifying
7k2 + 30k + 27 = 0

Reorder the terms:
27 + 30k + 7k2 = 0

Solving
27 + 30k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + k)(9 + 7k) = 0

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 '(9 + 7k)' equal to zero and attempt to solve:

Simplifying
9 + 7k = 0

Solving
9 + 7k = 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 + 7k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7k = 0 + -9
7k = 0 + -9

Combine like terms: 0 + -9 = -9
7k = -9

Divide each side by '7'.
k = -1.285714286

Simplifying
k = -1.285714286
Solution
k = {-3, -1.285714286}