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Simplifying sin(2x + -8) = cosine(6x + -6) Reorder the terms: ins(-8 + 2x) = cosine(6x + -6) (-8 * ins + 2x * ins) = cosine(6x + -6) (-8ins + 2insx) = cosine(6x + -6) Reorder the terms: -8ins + 2insx = ceinos(-6 + 6x) -8ins + 2insx = (-6 * ceinos + 6x * ceinos) -8ins + 2insx = (-6ceinos + 6ceinosx) Solving -8ins + 2insx = -6ceinos + 6ceinosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6ceinos' to each side of the equation. -8ins + 6ceinos + 2insx = -6ceinos + 6ceinos + 6ceinosx Reorder the terms: 6ceinos + -8ins + 2insx = -6ceinos + 6ceinos + 6ceinosx Combine like terms: -6ceinos + 6ceinos = 0 6ceinos + -8ins + 2insx = 0 + 6ceinosx 6ceinos + -8ins + 2insx = 6ceinosx Add '-6ceinosx' to each side of the equation. 6ceinos + -8ins + -6ceinosx + 2insx = 6ceinosx + -6ceinosx Reorder the terms: 6ceinos + -6ceinosx + -8ins + 2insx = 6ceinosx + -6ceinosx Combine like terms: 6ceinosx + -6ceinosx = 0 6ceinos + -6ceinosx + -8ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2ins'. 2ins(3ceo + -3ceox + -4 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(3ceo + -3ceox + -4 + x)' equal to zero and attempt to solve: Simplifying 3ceo + -3ceox + -4 + x = 0 Reorder the terms: -4 + 3ceo + -3ceox + x = 0 Solving -4 + 3ceo + -3ceox + x = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3ceo + -3ceox + 4 + x = 0 + 4 Reorder the terms: -4 + 4 + 3ceo + -3ceox + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3ceo + -3ceox + x = 0 + 4 3ceo + -3ceox + x = 0 + 4 Combine like terms: 0 + 4 = 4 3ceo + -3ceox + x = 4 Add '-3ceo' to each side of the equation. 3ceo + -3ceox + -3ceo + x = 4 + -3ceo Reorder the terms: 3ceo + -3ceo + -3ceox + x = 4 + -3ceo Combine like terms: 3ceo + -3ceo = 0 0 + -3ceox + x = 4 + -3ceo -3ceox + x = 4 + -3ceo Add '3ceox' to each side of the equation. -3ceox + 3ceox + x = 4 + -3ceo + 3ceox Combine like terms: -3ceox + 3ceox = 0 0 + x = 4 + -3ceo + 3ceox x = 4 + -3ceo + 3ceox Add '-1x' to each side of the equation. x + -1x = 4 + -3ceo + 3ceox + -1x Combine like terms: x + -1x = 0 0 = 4 + -3ceo + 3ceox + -1x Simplifying 0 = 4 + -3ceo + 3ceox + -1x 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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