2+3sin(2x)=0

Solution for 2+3sin(2x)=0 equation:

Simplifying
2 + 3sin(2x) = 0

Remove parenthesis around (2x)
2 + 3ins * 2x = 0

Reorder the terms for easier multiplication:
2 + 3 * 2ins * x = 0

Multiply 3 * 2
2 + 6ins * x = 0

Multiply ins * x
2 + 6insx = 0

Solving
2 + 6insx = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 6insx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6insx = 0 + -2
6insx = 0 + -2

Combine like terms: 0 + -2 = -2
6insx = -2

Divide each side by '6nsx'.
i = -0.3333333333n-1s-1x-1

Simplifying
i = -0.3333333333n-1s-1x-1