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Simplifying Sin(8x) + -1sin(4x) = 0 Remove parenthesis around (8x) inS * 8x + -1sin(4x) = 0 Reorder the terms for easier multiplication: 8inS * x + -1sin(4x) = 0 Multiply inS * x 8inxS + -1sin(4x) = 0 Remove parenthesis around (4x) 8inxS + -1ins * 4x = 0 Reorder the terms for easier multiplication: 8inxS + -1 * 4ins * x = 0 Multiply -1 * 4 8inxS + -4ins * x = 0 Multiply ins * x 8inxS + -4insx = 0 Reorder the terms: -4insx + 8inxS = 0 Solving -4insx + 8inxS = 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), '4inx'. 4inx(-1s + 2S) = 0 Ignore the factor 4.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 '(-1s + 2S)' equal to zero and attempt to solve: Simplifying -1s + 2S = 0 Reorder the terms: 2S + -1s = 0 Solving 2S + -1s = 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 + -1s = 0 + -2S Combine like terms: 2S + -2S = 0 0 + -1s = 0 + -2S -1s = 0 + -2S Remove the zero: -1s = -2S Add 's' to each side of the equation. -1s + s = -2S + s Combine like terms: -1s + s = 0 0 = -2S + s Simplifying 0 = -2S + s 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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