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Simplifying 6cos(x) = -1cos2(x) Multiply cos * x 6cosx = -1cos2(x) Multiply cos2 * x 6cosx = -1cos2x Solving 6cosx = -1cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'cos2x' to each side of the equation. 6cosx + cos2x = -1cos2x + cos2x Combine like terms: -1cos2x + cos2x = 0 6cosx + cos2x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(6 + s) = 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 '(6 + s)' equal to zero and attempt to solve: Simplifying 6 + s = 0 Solving 6 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s = 0 + -6 s = 0 + -6 Combine like terms: 0 + -6 = -6 s = -6 Add '-1s' to each side of the equation. s + -1s = -6 + -1s Combine like terms: s + -1s = 0 0 = -6 + -1s Simplifying 0 = -6 + -1s 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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