2sin^2x-sin(2x)-120=0

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Solution for 2sin^2x-sin(2x)-120=0 equation: 


Simplifying
2sin2x + -1sin(2x) + -120 = 0

Remove parenthesis around (2x)
2in2sx + -1ins * 2x + -120 = 0

Reorder the terms for easier multiplication:
2in2sx + -1 * 2ins * x + -120 = 0

Multiply -1 * 2
2in2sx + -2ins * x + -120 = 0

Multiply ins * x
2in2sx + -2insx + -120 = 0

Reorder the terms:
-120 + -2insx + 2in2sx = 0

Solving
-120 + -2insx + 2in2sx = 0

Solving for variable 'i'.

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

Add '120' to each side of the equation.
-120 + -2insx + 120 + 2in2sx = 0 + 120

Reorder the terms:
-120 + 120 + -2insx + 2in2sx = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -2insx + 2in2sx = 0 + 120
-2insx + 2in2sx = 0 + 120

Combine like terms: 0 + 120 = 120
-2insx + 2in2sx = 120

Reorder the terms:
-120 + -2insx + 2in2sx = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + -2insx + 2in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + -1insx + in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-60 + -1insx + in2sx)' equal to zero and attempt to solve:

Simplifying
-60 + -1insx + in2sx = 0

Solving
-60 + -1insx + in2sx = 0

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

Add '60' to each side of the equation.
-60 + -1insx + 60 + in2sx = 0 + 60

Reorder the terms:
-60 + 60 + -1insx + in2sx = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1insx + in2sx = 0 + 60
-1insx + in2sx = 0 + 60

Combine like terms: 0 + 60 = 60
-1insx + in2sx = 60

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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