8n=Sin(50)

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Solution for 8n=Sin(50) equation: 


Simplifying
8n = Sin(50)

Reorder the terms for easier multiplication:
8n = 50inS

Solving
8n = 50inS

Solving for variable 'n'.

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

Add '-50inS' to each side of the equation.
-50inS + 8n = 50inS + -50inS

Combine like terms: 50inS + -50inS = 0
-50inS + 8n = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-25iS + 4) = 0

Ignore the factor 2.

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 '(-25iS + 4)' equal to zero and attempt to solve:

Simplifying
-25iS + 4 = 0

Reorder the terms:
4 + -25iS = 0

Solving
4 + -25iS = 0

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

Add '-4' to each side of the equation.
4 + -4 + -25iS = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25iS = 0 + -4
-25iS = 0 + -4

Combine like terms: 0 + -4 = -4
-25iS = -4

Add '25iS' to each side of the equation.
-25iS + 25iS = -4 + 25iS

Combine like terms: -25iS + 25iS = 0
0 = -4 + 25iS

Simplifying
0 = -4 + 25iS

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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