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Simplifying Sin(2x + 3) = sin(x + 1) Reorder the terms: inS(3 + 2x) = sin(x + 1) (3 * inS + 2x * inS) = sin(x + 1) (3inS + 2inxS) = sin(x + 1) Reorder the terms: 3inS + 2inxS = ins(1 + x) 3inS + 2inxS = (1 * ins + x * ins) 3inS + 2inxS = (1ins + insx) Solving 3inS + 2inxS = 1ins + insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1ins' to each side of the equation. 3inS + -1ins + 2inxS = 1ins + -1ins + insx Combine like terms: 1ins + -1ins = 0 3inS + -1ins + 2inxS = 0 + insx 3inS + -1ins + 2inxS = insx Add '-1insx' to each side of the equation. 3inS + -1ins + -1insx + 2inxS = insx + -1insx Combine like terms: insx + -1insx = 0 3inS + -1ins + -1insx + 2inxS = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(3S + -1s + -1sx + 2xS) = 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 '(3S + -1s + -1sx + 2xS)' equal to zero and attempt to solve: Simplifying 3S + -1s + -1sx + 2xS = 0 Solving 3S + -1s + -1sx + 2xS = 0 Move all terms containing i to the left, all other terms to the right. Add '-3S' to each side of the equation. 3S + -1s + -1sx + -3S + 2xS = 0 + -3S Reorder the terms: 3S + -3S + -1s + -1sx + 2xS = 0 + -3S Combine like terms: 3S + -3S = 0 0 + -1s + -1sx + 2xS = 0 + -3S -1s + -1sx + 2xS = 0 + -3S Remove the zero: -1s + -1sx + 2xS = -3S Add 's' to each side of the equation. -1s + -1sx + s + 2xS = -3S + s Reorder the terms: -1s + s + -1sx + 2xS = -3S + s Combine like terms: -1s + s = 0 0 + -1sx + 2xS = -3S + s -1sx + 2xS = -3S + s Add 'sx' to each side of the equation. -1sx + sx + 2xS = -3S + s + sx Combine like terms: -1sx + sx = 0 0 + 2xS = -3S + s + sx 2xS = -3S + s + sx Add '-2xS' to each side of the equation. 2xS + -2xS = -3S + s + sx + -2xS Combine like terms: 2xS + -2xS = 0 0 = -3S + s + sx + -2xS Simplifying 0 = -3S + s + sx + -2xS 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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