36k^2+108k+56=0

Solution for 36k^2+108k+56=0 equation:

Simplifying
36k2 + 108k + 56 = 0

Reorder the terms:
56 + 108k + 36k2 = 0

Solving
56 + 108k + 36k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + 27k + 9k2) = 0

Factor a trinomial.
4((7 + 3k)(2 + 3k)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(7 + 3k)' equal to zero and attempt to solve:

Simplifying
7 + 3k = 0

Solving
7 + 3k = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3k = 0 + -7
3k = 0 + -7

Combine like terms: 0 + -7 = -7
3k = -7

Divide each side by '3'.
k = -2.333333333

Simplifying
k = -2.333333333
Subproblem 2
Set the factor '(2 + 3k)' equal to zero and attempt to solve:

Simplifying
2 + 3k = 0

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

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

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

Divide each side by '3'.
k = -0.6666666667

Simplifying
k = -0.6666666667
Solution
k = {-2.333333333, -0.6666666667}