3k^2-k-18=6

Solution for 3k^2-k-18=6 equation:

Simplifying
3k2 + -1k + -18 = 6

Reorder the terms:
-18 + -1k + 3k2 = 6

Solving
-18 + -1k + 3k2 = 6

Solving for variable 'k'.

Reorder the terms:
-18 + -6 + -1k + 3k2 = 6 + -6

Combine like terms: -18 + -6 = -24
-24 + -1k + 3k2 = 6 + -6

Combine like terms: 6 + -6 = 0
-24 + -1k + 3k2 = 0

Factor a trinomial.
(-8 + -3k)(3 + -1k) = 0

Subproblem 1
Set the factor '(-8 + -3k)' equal to zero and attempt to solve:

Simplifying
-8 + -3k = 0

Solving
-8 + -3k = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3k = 0 + 8
-3k = 0 + 8

Combine like terms: 0 + 8 = 8
-3k = 8

Divide each side by '-3'.
k = -2.666666667

Simplifying
k = -2.666666667
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 = {-2.666666667, 3}