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Simplifying 6cos(2w) = 6cos2(w) + -3 Remove parenthesis around (2w) 6cos * 2w = 6cos2(w) + -3 Reorder the terms for easier multiplication: 6 * 2cos * w = 6cos2(w) + -3 Multiply 6 * 2 12cos * w = 6cos2(w) + -3 Multiply cos * w 12cosw = 6cos2(w) + -3 Multiply cos2 * w 12cosw = 6cos2w + -3 Reorder the terms: 12cosw = -3 + 6cos2w Solving 12cosw = -3 + 6cos2w Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cos2w' to each side of the equation. 12cosw + -6cos2w = -3 + 6cos2w + -6cos2w Combine like terms: 6cos2w + -6cos2w = 0 12cosw + -6cos2w = -3 + 0 12cosw + -6cos2w = -3 Reorder the terms: 3 + 12cosw + -6cos2w = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 12cosw + -6cos2w = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 4cosw + -2cos2w) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + 4cosw + -2cos2w)' equal to zero and attempt to solve: Simplifying 1 + 4cosw + -2cos2w = 0 Solving 1 + 4cosw + -2cos2w = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4cosw + -1 + -2cos2w = 0 + -1 Reorder the terms: 1 + -1 + 4cosw + -2cos2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cosw + -2cos2w = 0 + -1 4cosw + -2cos2w = 0 + -1 Combine like terms: 0 + -1 = -1 4cosw + -2cos2w = -1 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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