5k^2-22k-15=0

Solution for 5k^2-22k-15=0 equation:

Simplifying
5k2 + -22k + -15 = 0

Reorder the terms:
-15 + -22k + 5k2 = 0

Solving
-15 + -22k + 5k2 = 0

Solving for variable 'k'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve:

Simplifying
5 + -1k = 0

Solving
5 + -1k = 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 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5
Solution
k = {-0.6, 5}