16N=4N(12N)

Solution for 16N=4N(12N) equation:

Simplifying
16N = 4N(12N)

Remove parenthesis around (12N)
16N = 4N * 12N

Reorder the terms for easier multiplication:
16N = 4 * 12N * N

Multiply 4 * 12
16N = 48N * N

Multiply N * N
16N = 48N2

Solving
16N = 48N2

Solving for variable 'N'.

Combine like terms: 48N2 + -48N2 = 0
16N + -48N2 = 0

Factor out the Greatest Common Factor (GCF), '16N'.
16N(1 + -3N) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 'N' equal to zero and attempt to solve:

Simplifying
N = 0

Solving
N = 0

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

Simplifying
N = 0
Subproblem 2
Set the factor '(1 + -3N)' equal to zero and attempt to solve:

Simplifying
1 + -3N = 0

Solving
1 + -3N = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3N = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3N = 0 + -1
-3N = 0 + -1

Combine like terms: 0 + -1 = -1
-3N = -1

Divide each side by '-3'.
N = 0.3333333333

Simplifying
N = 0.3333333333
Solution
N = {0, 0.3333333333}