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