20k^2+47k+24=0

Solution for 20k^2+47k+24=0 equation:

Simplifying
20k2 + 47k + 24 = 0

Reorder the terms:
24 + 47k + 20k2 = 0

Solving
24 + 47k + 20k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(8 + 5k)(3 + 4k) = 0

Subproblem 1
Set the factor '(8 + 5k)' equal to zero and attempt to solve:

Simplifying
8 + 5k = 0

Solving
8 + 5k = 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 + 5k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5k = 0 + -8
5k = 0 + -8

Combine like terms: 0 + -8 = -8
5k = -8

Divide each side by '5'.
k = -1.6

Simplifying
k = -1.6
Subproblem 2
Set the factor '(3 + 4k)' equal to zero and attempt to solve:

Simplifying
3 + 4k = 0

Solving
3 + 4k = 0

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

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

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

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

Divide each side by '4'.
k = -0.75

Simplifying
k = -0.75
Solution
k = {-1.6, -0.75}