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Simplifying sin3(2x) = sin(2x) Remove parenthesis around (2x) in3s * 2x = sin(2x) Reorder the terms for easier multiplication: 2in3s * x = sin(2x) Multiply in3s * x 2in3sx = sin(2x) Remove parenthesis around (2x) 2in3sx = ins * 2x Reorder the terms for easier multiplication: 2in3sx = 2ins * x Multiply ins * x 2in3sx = 2insx Solving 2in3sx = 2insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2insx' to each side of the equation. -2insx + 2in3sx = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 -2insx + 2in3sx = 0 Factor out the Greatest Common Factor (GCF), '2insx'. 2insx(-1 + n2) = 0 Factor a difference between two squares. 2insx((1 + n)(-1 + n)) = 0 Ignore the factor 2.Subproblem 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 '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Add '-1n' to each side of the equation. n + -1n = -1 + -1n Combine like terms: n + -1n = 0 0 = -1 + -1n Simplifying 0 = -1 + -1n 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 + n)' equal to zero and attempt to solve: Simplifying -1 + n = 0 Solving -1 + n = 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 + n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + n = 0 + 1 n = 0 + 1 Combine like terms: 0 + 1 = 1 n = 1 Add '-1n' to each side of the equation. n + -1n = 1 + -1n Combine like terms: n + -1n = 0 0 = 1 + -1n Simplifying 0 = 1 + -1n 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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