15k^2-8=-2k

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

Simplifying
15k2 + -8 = -2k

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

Solving
-8 + 15k2 = -2k

Solving for variable 'k'.

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

Combine like terms: -2k + 2k = 0
-8 + 2k + 15k2 = 0

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

Subproblem 1
Set the factor '(-4 + -5k)' equal to zero and attempt to solve:

Simplifying
-4 + -5k = 0

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

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

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

Divide each side by '-5'.
k = -0.8

Simplifying
k = -0.8
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 = {-0.8, 0.6666666667}