9k^2-3k-20=

Solution for 9k^2-3k-20= equation:

Simplifying
9k2 + -3k + -20 = 0

Reorder the terms:
-20 + -3k + 9k2 = 0

Solving
-20 + -3k + 9k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -3k)(5 + -3k) = 0

Subproblem 1
Set the factor '(-4 + -3k)' equal to zero and attempt to solve:

Simplifying
-4 + -3k = 0

Solving
-4 + -3k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3k = 0 + 4
-3k = 0 + 4

Combine like terms: 0 + 4 = 4
-3k = 4

Divide each side by '-3'.
k = -1.333333333

Simplifying
k = -1.333333333
Subproblem 2
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
Solution
k = {-1.333333333, 1.666666667}