2sin^2(2x)-9sin(2x)+4=0

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Solution for 2sin^2(2x)-9sin(2x)+4=0 equation: 


Simplifying
2sin2(2x) + -9sin(2x) + 4 = 0

Remove parenthesis around (2x)
2in2s * 2x + -9sin(2x) + 4 = 0

Reorder the terms for easier multiplication:
2 * 2in2s * x + -9sin(2x) + 4 = 0

Multiply 2 * 2
4in2s * x + -9sin(2x) + 4 = 0

Multiply in2s * x
4in2sx + -9sin(2x) + 4 = 0

Remove parenthesis around (2x)
4in2sx + -9ins * 2x + 4 = 0

Reorder the terms for easier multiplication:
4in2sx + -9 * 2ins * x + 4 = 0

Multiply -9 * 2
4in2sx + -18ins * x + 4 = 0

Multiply ins * x
4in2sx + -18insx + 4 = 0

Reorder the terms:
4 + -18insx + 4in2sx = 0

Solving
4 + -18insx + 4in2sx = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -18insx + -4 + 4in2sx = 0 + -4

Reorder the terms:
4 + -4 + -18insx + 4in2sx = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -18insx + 4in2sx = 0 + -4
-18insx + 4in2sx = 0 + -4

Combine like terms: 0 + -4 = -4
-18insx + 4in2sx = -4

Reorder the terms:
4 + -18insx + 4in2sx = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -18insx + 4in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -9insx + 2in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -9insx + 2in2sx)' equal to zero and attempt to solve:

Simplifying
2 + -9insx + 2in2sx = 0

Solving
2 + -9insx + 2in2sx = 0

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

Add '-2' to each side of the equation.
2 + -9insx + -2 + 2in2sx = 0 + -2

Reorder the terms:
2 + -2 + -9insx + 2in2sx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9insx + 2in2sx = 0 + -2
-9insx + 2in2sx = 0 + -2

Combine like terms: 0 + -2 = -2
-9insx + 2in2sx = -2

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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