-7k^2+36k+36=0

Solution for -7k^2+36k+36=0 equation:

Simplifying
-7k2 + 36k + 36 = 0

Reorder the terms:
36 + 36k + -7k2 = 0

Solving
36 + 36k + -7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(6 + -1k)(6 + 7k) = 0

Subproblem 1
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 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 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Subproblem 2
Set the factor '(6 + 7k)' equal to zero and attempt to solve:

Simplifying
6 + 7k = 0

Solving
6 + 7k = 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 + 7k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7k = 0 + -6
7k = 0 + -6

Combine like terms: 0 + -6 = -6
7k = -6

Divide each side by '7'.
k = -0.8571428571

Simplifying
k = -0.8571428571
Solution
k = {6, -0.8571428571}