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.
(-6 + -1k)(8 + -9k) = 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 '(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
Solution
k = {-6, 0.8888888889}