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Simplifying cos(x)(2cos(x) + 1) = 0 Multiply cos * x cos * x(2cosx + 1) = 0 Reorder the terms: cos * x(1 + 2cosx) = 0 Multiply cos * x cosx(1 + 2cosx) = 0 (1 * cosx + 2cosx * cosx) = 0 (1cosx + 2c2o2s2x2) = 0 Solving 1cosx + 2c2o2s2x2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(1 + 2cosx) = 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 '(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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