15k^2=-4+16k

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

Simplifying
15k2 = -4 + 16k

Solving
15k2 = -4 + 16k

Solving for variable 'k'.

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

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

Combine like terms: -4 + 4 = 0
4 + -16k + 15k2 = 0 + 16k + -16k
4 + -16k + 15k2 = 16k + -16k

Combine like terms: 16k + -16k = 0
4 + -16k + 15k2 = 0

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

Subproblem 1
Set the factor '(2 + -5k)' equal to zero and attempt to solve:

Simplifying
2 + -5k = 0

Solving
2 + -5k = 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 + -5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k = 0 + -2
-5k = 0 + -2

Combine like terms: 0 + -2 = -2
-5k = -2

Divide each side by '-5'.
k = 0.4

Simplifying
k = 0.4
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 = {0.4, 0.6666666667}