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Simplifying Sin(6x) + 2sin(3x) = 0 Remove parenthesis around (6x) inS * 6x + 2sin(3x) = 0 Reorder the terms for easier multiplication: 6inS * x + 2sin(3x) = 0 Multiply inS * x 6inxS + 2sin(3x) = 0 Remove parenthesis around (3x) 6inxS + 2ins * 3x = 0 Reorder the terms for easier multiplication: 6inxS + 2 * 3ins * x = 0 Multiply 2 * 3 6inxS + 6ins * x = 0 Multiply ins * x 6inxS + 6insx = 0 Reorder the terms: 6insx + 6inxS = 0 Solving 6insx + 6inxS = 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), '6inx'. 6inx(s + S) = 0 Ignore the factor 6.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 '(s + S)' equal to zero and attempt to solve: Simplifying s + S = 0 Reorder the terms: S + s = 0 Solving S + s = 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 + s = 0 + -1S Combine like terms: S + -1S = 0 0 + s = 0 + -1S s = 0 + -1S Remove the zero: s = -1S Add '-1s' to each side of the equation. s + -1s = -1S + -1s Combine like terms: s + -1s = 0 0 = -1S + -1s Simplifying 0 = -1S + -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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