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Simplifying sin3x + 3sin2x + -2sinx = 0 Reorder the terms: -2insx + 3in2sx + in3sx = 0 Solving -2insx + 3in2sx + in3sx = 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), 'insx'. insx(-2 + 3n + n2) = 0Subproblem 1
Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 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 '(-2 + 3n + n2)' equal to zero and attempt to solve: Simplifying -2 + 3n + n2 = 0 Solving -2 + 3n + n2 = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3n + 2 + n2 = 0 + 2 Reorder the terms: -2 + 2 + 3n + n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3n + n2 = 0 + 2 3n + n2 = 0 + 2 Combine like terms: 0 + 2 = 2 3n + n2 = 2 Add '-3n' to each side of the equation. 3n + -3n + n2 = 2 + -3n Combine like terms: 3n + -3n = 0 0 + n2 = 2 + -3n n2 = 2 + -3n Add '-1n2' to each side of the equation. n2 + -1n2 = 2 + -3n + -1n2 Combine like terms: n2 + -1n2 = 0 0 = 2 + -3n + -1n2 Simplifying 0 = 2 + -3n + -1n2 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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