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Simplifying Sin(4x) = -1sin(2x) Remove parenthesis around (4x) inS * 4x = -1sin(2x) Reorder the terms for easier multiplication: 4inS * x = -1sin(2x) Multiply inS * x 4inxS = -1sin(2x) Remove parenthesis around (2x) 4inxS = -1ins * 2x Reorder the terms for easier multiplication: 4inxS = -1 * 2ins * x Multiply -1 * 2 4inxS = -2ins * x Multiply ins * x 4inxS = -2insx Solving 4inxS = -2insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2insx' to each side of the equation. 2insx + 4inxS = -2insx + 2insx Combine like terms: -2insx + 2insx = 0 2insx + 4inxS = 0 Factor out the Greatest Common Factor (GCF), '2inx'. 2inx(s + 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 '(s + 2S)' equal to zero and attempt to solve: Simplifying s + 2S = 0 Reorder the terms: 2S + s = 0 Solving 2S + s = 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 + s = 0 + -2S Combine like terms: 2S + -2S = 0 0 + s = 0 + -2S s = 0 + -2S Remove the zero: s = -2S Add '-1s' to each side of the equation. s + -1s = -2S + -1s Combine like terms: s + -1s = 0 0 = -2S + -1s Simplifying 0 = -2S + -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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