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