(3-2sinx)(3+2sinx)=5+4cos^2x

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Solution for (3-2sinx)(3+2sinx)=5+4cos^2x equation:


Simplifying
(3 + -2sinx)(3 + 2sinx) = 5 + 4cos2x

Multiply (3 + -2insx) * (3 + 2insx)
(3(3 + 2insx) + -2insx * (3 + 2insx)) = 5 + 4cos2x
((3 * 3 + 2insx * 3) + -2insx * (3 + 2insx)) = 5 + 4cos2x
((9 + 6insx) + -2insx * (3 + 2insx)) = 5 + 4cos2x
(9 + 6insx + (3 * -2insx + 2insx * -2insx)) = 5 + 4cos2x
(9 + 6insx + (-6insx + -4i2n2s2x2)) = 5 + 4cos2x

Combine like terms: 6insx + -6insx = 0
(9 + 0 + -4i2n2s2x2) = 5 + 4cos2x
(9 + -4i2n2s2x2) = 5 + 4cos2x

Solving
9 + -4i2n2s2x2 = 5 + 4cos2x

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + -4i2n2s2x2 = 5 + -9 + 4cos2x

Combine like terms: 9 + -9 = 0
0 + -4i2n2s2x2 = 5 + -9 + 4cos2x
-4i2n2s2x2 = 5 + -9 + 4cos2x

Combine like terms: 5 + -9 = -4
-4i2n2s2x2 = -4 + 4cos2x

Divide each side by '-4n2s2x2'.
i2 = n-2s-2x-2 + -1cn-2ox-1

Simplifying
i2 = n-2s-2x-2 + -1cn-2ox-1

Reorder the terms:
i2 = -1cn-2ox-1 + n-2s-2x-2

Reorder the terms:
cn-2ox-1 + i2 + -1n-2s-2x-2 = -1cn-2ox-1 + n-2s-2x-2 + cn-2ox-1 + -1n-2s-2x-2

Reorder the terms:
cn-2ox-1 + i2 + -1n-2s-2x-2 = -1cn-2ox-1 + cn-2ox-1 + n-2s-2x-2 + -1n-2s-2x-2

Combine like terms: -1cn-2ox-1 + cn-2ox-1 = 0
cn-2ox-1 + i2 + -1n-2s-2x-2 = 0 + n-2s-2x-2 + -1n-2s-2x-2
cn-2ox-1 + i2 + -1n-2s-2x-2 = n-2s-2x-2 + -1n-2s-2x-2

Combine like terms: n-2s-2x-2 + -1n-2s-2x-2 = 0
cn-2ox-1 + i2 + -1n-2s-2x-2 = 0

The solution to this equation could not be determined.

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