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Simplifying Sin(5x) + sin(11x) = 0 Remove parenthesis around (5x) inS * 5x + sin(11x) = 0 Reorder the terms for easier multiplication: 5inS * x + sin(11x) = 0 Multiply inS * x 5inxS + sin(11x) = 0 Remove parenthesis around (11x) 5inxS + ins * 11x = 0 Reorder the terms for easier multiplication: 5inxS + 11ins * x = 0 Multiply ins * x 5inxS + 11insx = 0 Reorder the terms: 11insx + 5inxS = 0 Solving 11insx + 5inxS = 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(11s + 5S) = 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 '(11s + 5S)' equal to zero and attempt to solve: Simplifying 11s + 5S = 0 Reorder the terms: 5S + 11s = 0 Solving 5S + 11s = 0 Move all terms containing i to the left, all other terms to the right. Add '-5S' to each side of the equation. 5S + -5S + 11s = 0 + -5S Combine like terms: 5S + -5S = 0 0 + 11s = 0 + -5S 11s = 0 + -5S Remove the zero: 11s = -5S Add '-11s' to each side of the equation. 11s + -11s = -5S + -11s Combine like terms: 11s + -11s = 0 0 = -5S + -11s Simplifying 0 = -5S + -11s 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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