15k^2+11k-15=-3

Solution for 15k^2+11k-15=-3 equation:

Simplifying
15k2 + 11k + -15 = -3

Reorder the terms:
-15 + 11k + 15k2 = -3

Solving
-15 + 11k + 15k2 = -3

Solving for variable 'k'.

Reorder the terms:
-15 + 3 + 11k + 15k2 = -3 + 3

Combine like terms: -15 + 3 = -12
-12 + 11k + 15k2 = -3 + 3

Combine like terms: -3 + 3 = 0
-12 + 11k + 15k2 = 0

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

Subproblem 1
Set the factor '(-4 + -3k)' equal to zero and attempt to solve:

Simplifying
-4 + -3k = 0

Solving
-4 + -3k = 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 + -3k = 0 + 4

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

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

Divide each side by '-3'.
k = -1.333333333

Simplifying
k = -1.333333333
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 = {-1.333333333, 0.6}