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

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


Simplifying
(3 + -2sinx)(3 + 2sinx) = 5 + 4sin2x

Multiply (3 + -2insx) * (3 + 2insx)
(3(3 + 2insx) + -2insx * (3 + 2insx)) = 5 + 4sin2x
((3 * 3 + 2insx * 3) + -2insx * (3 + 2insx)) = 5 + 4sin2x
((9 + 6insx) + -2insx * (3 + 2insx)) = 5 + 4sin2x
(9 + 6insx + (3 * -2insx + 2insx * -2insx)) = 5 + 4sin2x
(9 + 6insx + (-6insx + -4i2n2s2x2)) = 5 + 4sin2x

Combine like terms: 6insx + -6insx = 0
(9 + 0 + -4i2n2s2x2) = 5 + 4sin2x
(9 + -4i2n2s2x2) = 5 + 4sin2x

Solving
9 + -4i2n2s2x2 = 5 + 4in2sx

Solving for variable 'i'.

Reorder the terms:
9 + -5 + -4in2sx + -4i2n2s2x2 = 5 + 4in2sx + -5 + -4in2sx

Combine like terms: 9 + -5 = 4
4 + -4in2sx + -4i2n2s2x2 = 5 + 4in2sx + -5 + -4in2sx

Reorder the terms:
4 + -4in2sx + -4i2n2s2x2 = 5 + -5 + 4in2sx + -4in2sx

Combine like terms: 5 + -5 = 0
4 + -4in2sx + -4i2n2s2x2 = 0 + 4in2sx + -4in2sx
4 + -4in2sx + -4i2n2s2x2 = 4in2sx + -4in2sx

Combine like terms: 4in2sx + -4in2sx = 0
4 + -4in2sx + -4i2n2s2x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -1in2sx + -1i2n2s2x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -1in2sx + -1i2n2s2x2)' equal to zero and attempt to solve:

Simplifying
1 + -1in2sx + -1i2n2s2x2 = 0

Solving
1 + -1in2sx + -1i2n2s2x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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