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Simplifying Sin(2x) + sin(3x) = 0 Remove parenthesis around (2x) inS * 2x + sin(3x) = 0 Reorder the terms for easier multiplication: 2inS * x + sin(3x) = 0 Multiply inS * x 2inxS + sin(3x) = 0 Remove parenthesis around (3x) 2inxS + ins * 3x = 0 Reorder the terms for easier multiplication: 2inxS + 3ins * x = 0 Multiply ins * x 2inxS + 3insx = 0 Reorder the terms: 3insx + 2inxS = 0 Solving 3insx + 2inxS = 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(3s + 2S) = 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 '(3s + 2S)' equal to zero and attempt to solve: Simplifying 3s + 2S = 0 Reorder the terms: 2S + 3s = 0 Solving 2S + 3s = 0 Move all terms containing i to the left, all other terms to the right. Add '-2S' to each side of the equation. 2S + -2S + 3s = 0 + -2S Combine like terms: 2S + -2S = 0 0 + 3s = 0 + -2S 3s = 0 + -2S Remove the zero: 3s = -2S Add '-3s' to each side of the equation. 3s + -3s = -2S + -3s Combine like terms: 3s + -3s = 0 0 = -2S + -3s Simplifying 0 = -2S + -3s 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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