16k=5k^2+3

Solution for 16k=5k^2+3 equation:

Simplifying
16k = 5k2 + 3

Reorder the terms:
16k = 3 + 5k2

Solving
16k = 3 + 5k2

Solving for variable 'k'.

Reorder the terms:
-3 + 16k + -5k2 = 3 + 5k2 + -3 + -5k2

Reorder the terms:
-3 + 16k + -5k2 = 3 + -3 + 5k2 + -5k2

Combine like terms: 3 + -3 = 0
-3 + 16k + -5k2 = 0 + 5k2 + -5k2
-3 + 16k + -5k2 = 5k2 + -5k2

Combine like terms: 5k2 + -5k2 = 0
-3 + 16k + -5k2 = 0

Factor a trinomial.
(-3 + k)(1 + -5k) = 0

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

Simplifying
-3 + k = 0

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

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

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

Simplifying
k = 3
Subproblem 2
Set the factor '(1 + -5k)' equal to zero and attempt to solve:

Simplifying
1 + -5k = 0

Solving
1 + -5k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5k = 0 + -1
-5k = 0 + -1

Combine like terms: 0 + -1 = -1
-5k = -1

Divide each side by '-5'.
k = 0.2

Simplifying
k = 0.2
Solution
k = {3, 0.2}