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Simplifying 5sinx + -4sin3x = 2sin2x Solving 5insx + -4in3sx = 2in2sx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2in2sx' to each side of the equation. 5insx + -2in2sx + -4in3sx = 2in2sx + -2in2sx Combine like terms: 2in2sx + -2in2sx = 0 5insx + -2in2sx + -4in3sx = 0 Factor out the Greatest Common Factor (GCF), 'insx'. insx(5 + -2n + -4n2) = 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 '(5 + -2n + -4n2)' equal to zero and attempt to solve: Simplifying 5 + -2n + -4n2 = 0 Solving 5 + -2n + -4n2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2n + -5 + -4n2 = 0 + -5 Reorder the terms: 5 + -5 + -2n + -4n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n + -4n2 = 0 + -5 -2n + -4n2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2n + -4n2 = -5 Add '2n' to each side of the equation. -2n + 2n + -4n2 = -5 + 2n Combine like terms: -2n + 2n = 0 0 + -4n2 = -5 + 2n -4n2 = -5 + 2n Add '4n2' to each side of the equation. -4n2 + 4n2 = -5 + 2n + 4n2 Combine like terms: -4n2 + 4n2 = 0 0 = -5 + 2n + 4n2 Simplifying 0 = -5 + 2n + 4n2 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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