5k^2+17k-20=-8

Solution for 5k^2+17k-20=-8 equation:

Simplifying
5k2 + 17k + -20 = -8

Reorder the terms:
-20 + 17k + 5k2 = -8

Solving
-20 + 17k + 5k2 = -8

Solving for variable 'k'.

Reorder the terms:
-20 + 8 + 17k + 5k2 = -8 + 8

Combine like terms: -20 + 8 = -12
-12 + 17k + 5k2 = -8 + 8

Combine like terms: -8 + 8 = 0
-12 + 17k + 5k2 = 0

Factor a trinomial.
(-4 + -1k)(3 + -5k) = 0

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

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 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 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4
Subproblem 2
Set the factor '(3 + -5k)' equal to zero and attempt to solve:

Simplifying
3 + -5k = 0

Solving
3 + -5k = 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 + -5k = 0 + -3

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

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

Divide each side by '-5'.
k = 0.6

Simplifying
k = 0.6
Solution
k = {-4, 0.6}