-1-2sin^2x-3sinx=0

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Solution for -1-2sin^2x-3sinx=0 equation:


Simplifying
-1 + -2sin2x + -3sinx = 0

Reorder the terms:
-1 + -3insx + -2in2sx = 0

Solving
-1 + -3insx + -2in2sx = 0

Solving for variable 'i'.

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 + -2in2sx = 0 + 1

Reorder the terms:
-1 + 1 + -3insx + -2in2sx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3insx + -2in2sx = 0 + 1
-3insx + -2in2sx = 0 + 1

Combine like terms: 0 + 1 = 1
-3insx + -2in2sx = 1

Reorder the terms:
-1 + -3insx + -2in2sx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -3insx + -2in2sx = 0

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

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 3insx + 2in2sx)' equal to zero and attempt to solve: Simplifying 1 + 3insx + 2in2sx = 0 Solving 1 + 3insx + 2in2sx = 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 + 2in2sx = 0 + -1 Reorder the terms: 1 + -1 + 3insx + 2in2sx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3insx + 2in2sx = 0 + -1 3insx + 2in2sx = 0 + -1 Combine like terms: 0 + -1 = -1 3insx + 2in2sx = -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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