15k^2+16k-15=0

Solution for 15k^2+16k-15=0 equation:

Simplifying
15k2 + 16k + -15 = 0

Reorder the terms:
-15 + 16k + 15k2 = 0

Solving
-15 + 16k + 15k2 = 0

Solving for variable 'k'.

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

Subproblem 1
Set the factor '(-5 + -3k)' equal to zero and attempt to solve:

Simplifying
-5 + -3k = 0

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

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

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

Divide each side by '-3'.
k = -1.666666667

Simplifying
k = -1.666666667
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 = {-1.666666667, 0.6}