9k^2-46k-48=0

Solution for 9k^2-46k-48=0 equation:

Simplifying
9k2 + -46k + -48 = 0

Reorder the terms:
-48 + -46k + 9k2 = 0

Solving
-48 + -46k + 9k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-8 + -9k)(6 + -1k) = 0

Subproblem 1
Set the factor '(-8 + -9k)' equal to zero and attempt to solve:

Simplifying
-8 + -9k = 0

Solving
-8 + -9k = 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 + -9k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -9k = 0 + 8
-9k = 0 + 8

Combine like terms: 0 + 8 = 8
-9k = 8

Divide each side by '-9'.
k = -0.8888888889

Simplifying
k = -0.8888888889
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 = {-0.8888888889, 6}