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Simplifying -15 + 50x * cos(3x + -5x2) = 0 Multiply x * cos -15 + 50cosx(3x + -5x2) = 0 -15 + (3x * 50cosx + -5x2 * 50cosx) = 0 -15 + (150cosx2 + -250cosx3) = 0 Solving -15 + 150cosx2 + -250cosx3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 150cosx2 + 15 + -250cosx3 = 0 + 15 Reorder the terms: -15 + 15 + 150cosx2 + -250cosx3 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 150cosx2 + -250cosx3 = 0 + 15 150cosx2 + -250cosx3 = 0 + 15 Combine like terms: 0 + 15 = 15 150cosx2 + -250cosx3 = 15 Reorder the terms: -15 + 150cosx2 + -250cosx3 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 150cosx2 + -250cosx3 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + 30cosx2 + -50cosx3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + 30cosx2 + -50cosx3)' equal to zero and attempt to solve: Simplifying -3 + 30cosx2 + -50cosx3 = 0 Solving -3 + 30cosx2 + -50cosx3 = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 30cosx2 + 3 + -50cosx3 = 0 + 3 Reorder the terms: -3 + 3 + 30cosx2 + -50cosx3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 30cosx2 + -50cosx3 = 0 + 3 30cosx2 + -50cosx3 = 0 + 3 Combine like terms: 0 + 3 = 3 30cosx2 + -50cosx3 = 3 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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