2(sin^2(3x))-1=0

Solution for 2(sin^2(3x))-1=0 equation:

Simplifying
2(sin2(3x)) + -1 = 0

Remove parenthesis around (3x)
2(in2s * 3x) + -1 = 0

Reorder the terms for easier multiplication:
2(3in2s * x) + -1 = 0

Multiply in2s * x
2(3in2sx) + -1 = 0

Remove parenthesis around (3in2sx)
2 * 3in2sx + -1 = 0

Multiply 2 * 3
6in2sx + -1 = 0

Reorder the terms:
-1 + 6in2sx = 0

Solving
-1 + 6in2sx = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 6in2sx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6in2sx = 0 + 1
6in2sx = 0 + 1

Combine like terms: 0 + 1 = 1
6in2sx = 1

Divide each side by '6n2sx'.
i = 0.1666666667n-2s-1x-1

Simplifying
i = 0.1666666667n-2s-1x-1