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Simplifying Sin(3x) + sin(5x) + sin(8x) = 0 Remove parenthesis around (3x) inS * 3x + sin(5x) + sin(8x) = 0 Reorder the terms for easier multiplication: 3inS * x + sin(5x) + sin(8x) = 0 Multiply inS * x 3inxS + sin(5x) + sin(8x) = 0 Remove parenthesis around (5x) 3inxS + ins * 5x + sin(8x) = 0 Reorder the terms for easier multiplication: 3inxS + 5ins * x + sin(8x) = 0 Multiply ins * x 3inxS + 5insx + sin(8x) = 0 Remove parenthesis around (8x) 3inxS + 5insx + ins * 8x = 0 Reorder the terms for easier multiplication: 3inxS + 5insx + 8ins * x = 0 Multiply ins * x 3inxS + 5insx + 8insx = 0 Reorder the terms: 5insx + 8insx + 3inxS = 0 Combine like terms: 5insx + 8insx = 13insx 13insx + 3inxS = 0 Solving 13insx + 3inxS = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'inx'. inx(13s + 3S) = 0Subproblem 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 '(13s + 3S)' equal to zero and attempt to solve: Simplifying 13s + 3S = 0 Reorder the terms: 3S + 13s = 0 Solving 3S + 13s = 0 Move all terms containing i to the left, all other terms to the right. Add '-3S' to each side of the equation. 3S + -3S + 13s = 0 + -3S Combine like terms: 3S + -3S = 0 0 + 13s = 0 + -3S 13s = 0 + -3S Remove the zero: 13s = -3S Add '-13s' to each side of the equation. 13s + -13s = -3S + -13s Combine like terms: 13s + -13s = 0 0 = -3S + -13s Simplifying 0 = -3S + -13s 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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