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Simplifying 2sin3x + 9sin2x = 5sinx Reorder the terms: 9in2sx + 2in3sx = 5sinx Solving 9in2sx + 2in3sx = 5insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5insx' to each side of the equation. 9in2sx + -5insx + 2in3sx = 5insx + -5insx Reorder the terms: -5insx + 9in2sx + 2in3sx = 5insx + -5insx Combine like terms: 5insx + -5insx = 0 -5insx + 9in2sx + 2in3sx = 0 Factor out the Greatest Common Factor (GCF), 'insx'. insx(-5 + 9n + 2n2) = 0 Factor a trinomial. insx((-5 + -1n)(1 + -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 '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 0 Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Add 'n' to each side of the equation. -1n + n = 5 + n Combine like terms: -1n + n = 0 0 = 5 + n Simplifying 0 = 5 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -2n)' equal to zero and attempt to solve: Simplifying 1 + -2n = 0 Solving 1 + -2n = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 0 + -1 -2n = 0 + -1 Combine like terms: 0 + -1 = -1 -2n = -1 Add '2n' to each side of the equation. -2n + 2n = -1 + 2n Combine like terms: -2n + 2n = 0 0 = -1 + 2n Simplifying 0 = -1 + 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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