sin(2i)+8i=0

Solution for sin(2i)+8i=0 equation:

Simplifying
sin(2i) + 8i = 0

Remove parenthesis around (2i)
ins * 2i + 8i = 0

Reorder the terms for easier multiplication:
2ins * i + 8i = 0

Multiply ins * i
2i2ns + 8i = 0

Reorder the terms:
8i + 2i2ns = 0

Solving
8i + 2i2ns = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2i'.
2i(4 + ins) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(4 + ins)' equal to zero and attempt to solve:

Simplifying
4 + ins = 0

Solving
4 + ins = 0

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

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

Combine like terms: 4 + -4 = 0
0 + ins = 0 + -4
ins = 0 + -4

Combine like terms: 0 + -4 = -4
ins = -4

Divide each side by 'ns'.
i = -4n-1s-1

Simplifying
i = -4n-1s-1
Solution
i = {0, -4n-1s-1}