-2(sin^2)x=3sinx+1

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Solution for -2(sin^2)x=3sinx+1 equation:


Simplifying
-2(sin2) * x = 3sinx + 1

Multiply in2s * x
-2in2sx = 3sinx + 1

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

Solving
-2in2sx = 1 + 3insx

Solving for variable 'i'.

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

Add '-3insx' to each side of the equation.
-3insx + -2in2sx = 1 + 3insx + -3insx

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