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Simplifying 2sin3x + 3sin2 + -2sinx = 0 Reorder the terms: -2insx + 3in2s + 2in3sx = 0 Solving -2insx + 3in2s + 2in3sx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ins'. ins(-2x + 3n + 2n2x) = 0Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2x + 3n + 2n2x)' equal to zero and attempt to solve: Simplifying -2x + 3n + 2n2x = 0 Reorder the terms: 3n + 2n2x + -2x = 0 Solving 3n + 2n2x + -2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-3n' to each side of the equation. 3n + 2n2x + -3n + -2x = 0 + -3n Reorder the terms: 3n + -3n + 2n2x + -2x = 0 + -3n Combine like terms: 3n + -3n = 0 0 + 2n2x + -2x = 0 + -3n 2n2x + -2x = 0 + -3n Remove the zero: 2n2x + -2x = -3n Add '-2n2x' to each side of the equation. 2n2x + -2n2x + -2x = -3n + -2n2x Combine like terms: 2n2x + -2n2x = 0 0 + -2x = -3n + -2n2x -2x = -3n + -2n2x Add '2x' to each side of the equation. -2x + 2x = -3n + -2n2x + 2x Combine like terms: -2x + 2x = 0 0 = -3n + -2n2x + 2x Simplifying 0 = -3n + -2n2x + 2x 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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