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Simplifying cosx(2cosx + -1) = 0 Reorder the terms: cosx(-1 + 2cosx) = 0 (-1 * cosx + 2cosx * cosx) = 0 (-1cosx + 2c^{2}o^{2}s^{2}x^{2}) = 0 Solving -1cosx + 2c^{2}o^{2}s^{2}x^{2}= 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-1 + 2cosx) = 0## 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^{-1}s^{-1}x^{-1}Simplifying c = 0.5o^{-1}s^{-1}x^{-1}## Solution

c = {0.5o^{-1}s^{-1}x^{-1}}

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