Cos^2(2x)+3sin(2x)-3=0

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


Simplifying
Cos2(2x) + 3sin(2x) + -3 = 0

Remove parenthesis around (2x)
os2C * 2x + 3sin(2x) + -3 = 0

Reorder the terms for easier multiplication:
2os2C * x + 3sin(2x) + -3 = 0

Multiply os2C * x
2os2xC + 3sin(2x) + -3 = 0

Remove parenthesis around (2x)
2os2xC + 3ins * 2x + -3 = 0

Reorder the terms for easier multiplication:
2os2xC + 3 * 2ins * x + -3 = 0

Multiply 3 * 2
2os2xC + 6ins * x + -3 = 0

Multiply ins * x
2os2xC + 6insx + -3 = 0

Reorder the terms:
-3 + 6insx + 2os2xC = 0

Solving
-3 + 6insx + 2os2xC = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 6insx + 3 + 2os2xC = 0 + 3

Reorder the terms:
-3 + 3 + 6insx + 2os2xC = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6insx + 2os2xC = 0 + 3
6insx + 2os2xC = 0 + 3

Combine like terms: 0 + 3 = 3
6insx + 2os2xC = 3

Add '-2os2xC' to each side of the equation.
6insx + 2os2xC + -2os2xC = 3 + -2os2xC

Combine like terms: 2os2xC + -2os2xC = 0
6insx + 0 = 3 + -2os2xC
6insx = 3 + -2os2xC

Divide each side by '6nsx'.
i = 0.5n-1s-1x-1 + -0.3333333333n-1osC

Simplifying
i = 0.5n-1s-1x-1 + -0.3333333333n-1osC

Reorder the terms:
i = -0.3333333333n-1osC + 0.5n-1s-1x-1

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