3k^2+7k-66=0

Solution for 3k^2+7k-66=0 equation:

Simplifying
3k2 + 7k + -66 = 0

Reorder the terms:
-66 + 7k + 3k2 = 0

Solving
-66 + 7k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-6 + -1k)(11 + -3k) = 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 '(11 + -3k)' equal to zero and attempt to solve:

Simplifying
11 + -3k = 0

Solving
11 + -3k = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3k = 0 + -11
-3k = 0 + -11

Combine like terms: 0 + -11 = -11
-3k = -11

Divide each side by '-3'.
k = 3.666666667

Simplifying
k = 3.666666667
Solution
k = {-6, 3.666666667}