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Simplifying Sin(3x) + sin(5x) = sin(2x) + sin(6x) Remove parenthesis around (3x) inS * 3x + sin(5x) = sin(2x) + sin(6x) Reorder the terms for easier multiplication: 3inS * x + sin(5x) = sin(2x) + sin(6x) Multiply inS * x 3inxS + sin(5x) = sin(2x) + sin(6x) Remove parenthesis around (5x) 3inxS + ins * 5x = sin(2x) + sin(6x) Reorder the terms for easier multiplication: 3inxS + 5ins * x = sin(2x) + sin(6x) Multiply ins * x 3inxS + 5insx = sin(2x) + sin(6x) Reorder the terms: 5insx + 3inxS = sin(2x) + sin(6x) Remove parenthesis around (2x) 5insx + 3inxS = ins * 2x + sin(6x) Reorder the terms for easier multiplication: 5insx + 3inxS = 2ins * x + sin(6x) Multiply ins * x 5insx + 3inxS = 2insx + sin(6x) Remove parenthesis around (6x) 5insx + 3inxS = 2insx + ins * 6x Reorder the terms for easier multiplication: 5insx + 3inxS = 2insx + 6ins * x Multiply ins * x 5insx + 3inxS = 2insx + 6insx Combine like terms: 2insx + 6insx = 8insx 5insx + 3inxS = 8insx Solving 5insx + 3inxS = 8insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8insx' to each side of the equation. 5insx + -8insx + 3inxS = 8insx + -8insx Combine like terms: 5insx + -8insx = -3insx -3insx + 3inxS = 8insx + -8insx Combine like terms: 8insx + -8insx = 0 -3insx + 3inxS = 0 Factor out the Greatest Common Factor (GCF), '3inx'. 3inx(-1s + S) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'inx' equal to zero and attempt to solve: Simplifying inx = 0 Solving inx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inx = 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 '(-1s + S)' equal to zero and attempt to solve: Simplifying -1s + S = 0 Reorder the terms: S + -1s = 0 Solving S + -1s = 0 Move all terms containing i to the left, all other terms to the right. Add '-1S' to each side of the equation. S + -1S + -1s = 0 + -1S Combine like terms: S + -1S = 0 0 + -1s = 0 + -1S -1s = 0 + -1S Remove the zero: -1s = -1S Add 's' to each side of the equation. -1s + s = -1S + s Combine like terms: -1s + s = 0 0 = -1S + s Simplifying 0 = -1S + s 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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