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Simplifying 8cos2(x) + -6cos(x) * 1 = 0 Multiply cos2 * x 8cos2x + -6cos(x) * 1 = 0 Reorder the terms for easier multiplication: 8cos2x + -6 * 1cos * x = 0 Multiply -6 * 1 8cos2x + -6cos * x = 0 Multiply cos * x 8cos2x + -6cosx = 0 Reorder the terms: -6cosx + 8cos2x = 0 Solving -6cosx + 8cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2cosx'. 2cosx(-3 + 4s) = 0 Ignore the factor 2.Subproblem 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 + 4s)' equal to zero and attempt to solve: Simplifying -3 + 4s = 0 Solving -3 + 4s = 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 + 4s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4s = 0 + 3 4s = 0 + 3 Combine like terms: 0 + 3 = 3 4s = 3 Add '-4s' to each side of the equation. 4s + -4s = 3 + -4s Combine like terms: 4s + -4s = 0 0 = 3 + -4s Simplifying 0 = 3 + -4s 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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