3k^2-13k-30=0

Solution for 3k^2-13k-30=0 equation:

Simplifying
3k2 + -13k + -30 = 0

Reorder the terms:
-30 + -13k + 3k2 = 0

Solving
-30 + -13k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-5 + -3k)(6 + -1k) = 0

Subproblem 1
Set the factor '(-5 + -3k)' equal to zero and attempt to solve:

Simplifying
-5 + -3k = 0

Solving
-5 + -3k = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3k = 0 + 5

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

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

Divide each side by '-3'.
k = -1.666666667

Simplifying
k = -1.666666667
Subproblem 2
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
Solution
k = {-1.666666667, 6}