8k^2+2k-15=0

Solution for 8k^2+2k-15=0 equation:

Simplifying
8k2 + 2k + -15 = 0

Reorder the terms:
-15 + 2k + 8k2 = 0

Solving
-15 + 2k + 8k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -2k)(5 + -4k) = 0

Subproblem 1
Set the factor '(-3 + -2k)' equal to zero and attempt to solve:

Simplifying
-3 + -2k = 0

Solving
-3 + -2k = 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 + -2k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2k = 0 + 3
-2k = 0 + 3

Combine like terms: 0 + 3 = 3
-2k = 3

Divide each side by '-2'.
k = -1.5

Simplifying
k = -1.5
Subproblem 2
Set the factor '(5 + -4k)' equal to zero and attempt to solve:

Simplifying
5 + -4k = 0

Solving
5 + -4k = 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 + -4k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4k = 0 + -5
-4k = 0 + -5

Combine like terms: 0 + -5 = -5
-4k = -5

Divide each side by '-4'.
k = 1.25

Simplifying
k = 1.25
Solution
k = {-1.5, 1.25}