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Simplifying Sin(3x) + sin(x) = 0 Remove parenthesis around (3x) inS * 3x + sin(x) = 0 Reorder the terms for easier multiplication: 3inS * x + sin(x) = 0 Multiply inS * x 3inxS + sin(x) = 0 Multiply ins * x 3inxS + insx = 0 Reorder the terms: insx + 3inxS = 0 Solving insx + 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(s + 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 '(s + 3S)' equal to zero and attempt to solve: Simplifying s + 3S = 0 Reorder the terms: 3S + s = 0 Solving 3S + s = 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 + s = 0 + -3S Combine like terms: 3S + -3S = 0 0 + s = 0 + -3S s = 0 + -3S Remove the zero: s = -3S Add '-1s' to each side of the equation. s + -1s = -3S + -1s Combine like terms: s + -1s = 0 0 = -3S + -1s Simplifying 0 = -3S + -1s 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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