5k^2-3k-6=-6

Solution for 5k^2-3k-6=-6 equation:

Simplifying
5k2 + -3k + -6 = -6

Reorder the terms:
-6 + -3k + 5k2 = -6

Add '6' to each side of the equation.
-6 + -3k + 6 + 5k2 = -6 + 6

Reorder the terms:
-6 + 6 + -3k + 5k2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + -3k + 5k2 = -6 + 6
-3k + 5k2 = -6 + 6

Combine like terms: -6 + 6 = 0
-3k + 5k2 = 0

Solving
-3k + 5k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-3 + 5k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(-3 + 5k)' equal to zero and attempt to solve:

Simplifying
-3 + 5k = 0

Solving
-3 + 5k = 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 + 5k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5k = 0 + 3
5k = 0 + 3

Combine like terms: 0 + 3 = 3
5k = 3

Divide each side by '5'.
k = 0.6

Simplifying
k = 0.6
Solution
k = {0, 0.6}