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Simplifying Sin(20 + -1x) = sin(2x + 50) (20 * inS + -1x * inS) = sin(2x + 50) (20inS + -1inxS) = sin(2x + 50) Reorder the terms: 20inS + -1inxS = ins(50 + 2x) 20inS + -1inxS = (50 * ins + 2x * ins) 20inS + -1inxS = (50ins + 2insx) Solving 20inS + -1inxS = 50ins + 2insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-50ins' to each side of the equation. 20inS + -50ins + -1inxS = 50ins + -50ins + 2insx Combine like terms: 50ins + -50ins = 0 20inS + -50ins + -1inxS = 0 + 2insx 20inS + -50ins + -1inxS = 2insx Add '-2insx' to each side of the equation. 20inS + -50ins + -2insx + -1inxS = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 20inS + -50ins + -2insx + -1inxS = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(20S + -50s + -2sx + -1xS) = 0Subproblem 1
Set the factor 'in' equal to zero and attempt to solve: Simplifying in = 0 Solving in = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in = 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 '(20S + -50s + -2sx + -1xS)' equal to zero and attempt to solve: Simplifying 20S + -50s + -2sx + -1xS = 0 Solving 20S + -50s + -2sx + -1xS = 0 Move all terms containing i to the left, all other terms to the right. Add '-20S' to each side of the equation. 20S + -50s + -2sx + -20S + -1xS = 0 + -20S Reorder the terms: 20S + -20S + -50s + -2sx + -1xS = 0 + -20S Combine like terms: 20S + -20S = 0 0 + -50s + -2sx + -1xS = 0 + -20S -50s + -2sx + -1xS = 0 + -20S Remove the zero: -50s + -2sx + -1xS = -20S Add '50s' to each side of the equation. -50s + -2sx + 50s + -1xS = -20S + 50s Reorder the terms: -50s + 50s + -2sx + -1xS = -20S + 50s Combine like terms: -50s + 50s = 0 0 + -2sx + -1xS = -20S + 50s -2sx + -1xS = -20S + 50s Add '2sx' to each side of the equation. -2sx + 2sx + -1xS = -20S + 50s + 2sx Combine like terms: -2sx + 2sx = 0 0 + -1xS = -20S + 50s + 2sx -1xS = -20S + 50s + 2sx Add 'xS' to each side of the equation. -1xS + xS = -20S + 50s + 2sx + xS Combine like terms: -1xS + xS = 0 0 = -20S + 50s + 2sx + xS Simplifying 0 = -20S + 50s + 2sx + xS 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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