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Simplifying (4cosx + -2)(2cosx) = 0 Reorder the terms: (-2 + 4cosx)(2cosx) = 0 Remove parenthesis around (2cosx) (-2 + 4cosx) * 2cosx = 0 Reorder the terms for easier multiplication: 2cosx(-2 + 4cosx) = 0 (-2 * 2cosx + 4cosx * 2cosx) = 0 (-4cosx + 8c2o2s2x2) = 0 Solving -4cosx + 8c2o2s2x2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4cosx'. 4cosx(-1 + 2cosx) = 0 Ignore the factor 4.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 '(-1 + 2cosx)' equal to zero and attempt to solve: Simplifying -1 + 2cosx = 0 Solving -1 + 2cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cosx = 0 + 1 2cosx = 0 + 1 Combine like terms: 0 + 1 = 1 2cosx = 1 Divide each side by '2osx'. c = 0.5o-1s-1x-1 Simplifying c = 0.5o-1s-1x-1Solution
c = {0.5o-1s-1x-1}
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