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Simplifying sine(2x + -15) = cosine(x + -12) Reorder the terms: eins(-15 + 2x) = cosine(x + -12) (-15 * eins + 2x * eins) = cosine(x + -12) (-15eins + 2einsx) = cosine(x + -12) Reorder the terms: -15eins + 2einsx = ceinos(-12 + x) -15eins + 2einsx = (-12 * ceinos + x * ceinos) -15eins + 2einsx = (-12ceinos + ceinosx) Solving -15eins + 2einsx = -12ceinos + ceinosx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '12ceinos' to each side of the equation. -15eins + 12ceinos + 2einsx = -12ceinos + 12ceinos + ceinosx Reorder the terms: 12ceinos + -15eins + 2einsx = -12ceinos + 12ceinos + ceinosx Combine like terms: -12ceinos + 12ceinos = 0 12ceinos + -15eins + 2einsx = 0 + ceinosx 12ceinos + -15eins + 2einsx = ceinosx Add '-1ceinosx' to each side of the equation. 12ceinos + -15eins + -1ceinosx + 2einsx = ceinosx + -1ceinosx Reorder the terms: 12ceinos + -1ceinosx + -15eins + 2einsx = ceinosx + -1ceinosx Combine like terms: ceinosx + -1ceinosx = 0 12ceinos + -1ceinosx + -15eins + 2einsx = 0 Factor out the Greatest Common Factor (GCF), 'eins'. eins(12co + -1cox + -15 + 2x) = 0Subproblem 1
Set the factor 'eins' equal to zero and attempt to solve: Simplifying eins = 0 Solving eins = 0 Move all terms containing e to the left, all other terms to the right. Simplifying eins = 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 '(12co + -1cox + -15 + 2x)' equal to zero and attempt to solve: Simplifying 12co + -1cox + -15 + 2x = 0 Reorder the terms: -15 + 12co + -1cox + 2x = 0 Solving -15 + 12co + -1cox + 2x = 0 Move all terms containing e to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 12co + -1cox + 15 + 2x = 0 + 15 Reorder the terms: -15 + 15 + 12co + -1cox + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 12co + -1cox + 2x = 0 + 15 12co + -1cox + 2x = 0 + 15 Combine like terms: 0 + 15 = 15 12co + -1cox + 2x = 15 Add '-12co' to each side of the equation. 12co + -1cox + -12co + 2x = 15 + -12co Reorder the terms: 12co + -12co + -1cox + 2x = 15 + -12co Combine like terms: 12co + -12co = 0 0 + -1cox + 2x = 15 + -12co -1cox + 2x = 15 + -12co Add 'cox' to each side of the equation. -1cox + cox + 2x = 15 + -12co + cox Combine like terms: -1cox + cox = 0 0 + 2x = 15 + -12co + cox 2x = 15 + -12co + cox Add '-2x' to each side of the equation. 2x + -2x = 15 + -12co + cox + -2x Combine like terms: 2x + -2x = 0 0 = 15 + -12co + cox + -2x Simplifying 0 = 15 + -12co + cox + -2x 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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