2sin^2(w)+3sin^2(w)+1=0

Solution for 2sin^2(w)+3sin^2(w)+1=0 equation:

Simplifying
2sin2(w) + 3sin2(w) + 1 = 0

Multiply in2s * w
2in2sw + 3sin2(w) + 1 = 0

Multiply in2s * w
2in2sw + 3in2sw + 1 = 0

Reorder the terms:
1 + 2in2sw + 3in2sw = 0

Combine like terms: 2in2sw + 3in2sw = 5in2sw
1 + 5in2sw = 0

Solving
1 + 5in2sw = 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 + 5in2sw = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5in2sw = 0 + -1
5in2sw = 0 + -1

Combine like terms: 0 + -1 = -1
5in2sw = -1

Divide each side by '5n2sw'.
i = -0.2n-2s-1w-1

Simplifying
i = -0.2n-2s-1w-1