15k^2+8k-16=-4

Solution for 15k^2+8k-16=-4 equation:

Simplifying
15k2 + 8k + -16 = -4

Reorder the terms:
-16 + 8k + 15k2 = -4

Solving
-16 + 8k + 15k2 = -4

Solving for variable 'k'.

Reorder the terms:
-16 + 4 + 8k + 15k2 = -4 + 4

Combine like terms: -16 + 4 = -12
-12 + 8k + 15k2 = -4 + 4

Combine like terms: -4 + 4 = 0
-12 + 8k + 15k2 = 0

Factor a trinomial.
(-6 + -5k)(2 + -3k) = 0

Subproblem 1
Set the factor '(-6 + -5k)' equal to zero and attempt to solve:

Simplifying
-6 + -5k = 0

Solving
-6 + -5k = 0

Move all terms containing k to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -5k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5k = 0 + 6
-5k = 0 + 6

Combine like terms: 0 + 6 = 6
-5k = 6

Divide each side by '-5'.
k = -1.2

Simplifying
k = -1.2
Subproblem 2
Set the factor '(2 + -3k)' equal to zero and attempt to solve:

Simplifying
2 + -3k = 0

Solving
2 + -3k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3k = 0 + -2

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

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

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Solution
k = {-1.2, 0.6666666667}