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

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


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

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

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

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

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

Reorder the terms for easier multiplication:
2in2sx + -3 * 2ins * x + 2 = 0

Multiply -3 * 2
2in2sx + -6ins * x + 2 = 0

Multiply ins * x
2in2sx + -6insx + 2 = 0

Reorder the terms:
2 + -6insx + 2in2sx = 0

Solving
2 + -6insx + 2in2sx = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -6insx + -2 + 2in2sx = 0 + -2

Reorder the terms:
2 + -2 + -6insx + 2in2sx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6insx + 2in2sx = 0 + -2
-6insx + 2in2sx = 0 + -2

Combine like terms: 0 + -2 = -2
-6insx + 2in2sx = -2

Reorder the terms:
2 + -6insx + 2in2sx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -6insx + 2in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -3insx + in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -3insx + in2sx)' equal to zero and attempt to solve:

Simplifying
1 + -3insx + in2sx = 0

Solving
1 + -3insx + in2sx = 0

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

Add '-1' to each side of the equation.
1 + -3insx + -1 + in2sx = 0 + -1

Reorder the terms:
1 + -1 + -3insx + in2sx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3insx + in2sx = 0 + -1
-3insx + in2sx = 0 + -1

Combine like terms: 0 + -1 = -1
-3insx + in2sx = -1

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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