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Simplifying 4sin3x = 5sinx Solving 4in3sx = 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. -5insx + 4in3sx = 5insx + -5insx Combine like terms: 5insx + -5insx = 0 -5insx + 4in3sx = 0 Factor out the Greatest Common Factor (GCF), 'insx'. insx(-5 + 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 + 4n2)' equal to zero and attempt to solve: Simplifying -5 + 4n2 = 0 Solving -5 + 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 + 5 + 4n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4n2 = 0 + 5 4n2 = 0 + 5 Combine like terms: 0 + 5 = 5 4n2 = 5 Add '-4n2' to each side of the equation. 4n2 + -4n2 = 5 + -4n2 Combine like terms: 4n2 + -4n2 = 0 0 = 5 + -4n2 Simplifying 0 = 5 + -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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