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Simplifying Sin(4x) + -1sin(6x) = 0 Remove parenthesis around (4x) inS * 4x + -1sin(6x) = 0 Reorder the terms for easier multiplication: 4inS * x + -1sin(6x) = 0 Multiply inS * x 4inxS + -1sin(6x) = 0 Remove parenthesis around (6x) 4inxS + -1ins * 6x = 0 Reorder the terms for easier multiplication: 4inxS + -1 * 6ins * x = 0 Multiply -1 * 6 4inxS + -6ins * x = 0 Multiply ins * x 4inxS + -6insx = 0 Reorder the terms: -6insx + 4inxS = 0 Solving -6insx + 4inxS = 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), '2inx'. 2inx(-3s + 2S) = 0 Ignore the factor 2.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 '(-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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