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Simplifying 0 = -3cosx + 4cos3x Solving 0 = -3cosx + 4cos3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3cosx' to each side of the equation. 0 + 3cosx = -3cosx + 3cosx + 4cos3x Remove the zero: 3cosx = -3cosx + 3cosx + 4cos3x Combine like terms: -3cosx + 3cosx = 0 3cosx = 0 + 4cos3x 3cosx = 4cos3x Add '-4cos3x' to each side of the equation. 3cosx + -4cos3x = 4cos3x + -4cos3x Combine like terms: 4cos3x + -4cos3x = 0 3cosx + -4cos3x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(3 + -4s2) = 0Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(3 + -4s2)' equal to zero and attempt to solve: Simplifying 3 + -4s2 = 0 Solving 3 + -4s2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4s2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4s2 = 0 + -3 -4s2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4s2 = -3 Add '4s2' to each side of the equation. -4s2 + 4s2 = -3 + 4s2 Combine like terms: -4s2 + 4s2 = 0 0 = -3 + 4s2 Simplifying 0 = -3 + 4s2 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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