-3k^2-6k=3

Solution for -3k^2-6k=3 equation:

Simplifying
-3k2 + -6k = 3

Reorder the terms:
-6k + -3k2 = 3

Solving
-6k + -3k2 = 3

Solving for variable 'k'.

Reorder the terms:
-3 + -6k + -3k2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -6k + -3k2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(1 + 2k + k2) = 0

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

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

Simplifying
1 + k = 0

Solving
1 + k = 0

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

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

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

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

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

Simplifying
1 + k = 0

Solving
1 + k = 0

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

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

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

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

Simplifying
k = -1
Solution
k = {-1, -1}