3k^2-36=-3k

Solution for 3k^2-36=-3k equation:

Simplifying
3k2 + -36 = -3k

Reorder the terms:
-36 + 3k2 = -3k

Solving
-36 + 3k2 = -3k

Solving for variable 'k'.

Reorder the terms:
-36 + 3k + 3k2 = -3k + 3k

Combine like terms: -3k + 3k = 0
-36 + 3k + 3k2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + k + k2) = 0

Factor a trinomial.
3((-4 + -1k)(3 + -1k)) = 0

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

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4
Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 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 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {-4, 3}