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Simplifying 4cos(x) * cos(2x) + -1cos(3x) = 0 Remove parenthesis around (2x) 4cos * x * cos * 2x + -1cos(3x) = 0 Reorder the terms for easier multiplication: 4 * 2cos * x * cos * x + -1cos(3x) = 0 Multiply 4 * 2 8cos * x * cos * x + -1cos(3x) = 0 Multiply cos * x 8cosx * cos * x + -1cos(3x) = 0 Multiply cosx * cos 8c2o2s2x * x + -1cos(3x) = 0 Multiply c2o2s2x * x 8c2o2s2x2 + -1cos(3x) = 0 Remove parenthesis around (3x) 8c2o2s2x2 + -1cos * 3x = 0 Reorder the terms for easier multiplication: 8c2o2s2x2 + -1 * 3cos * x = 0 Multiply -1 * 3 8c2o2s2x2 + -3cos * x = 0 Multiply cos * x 8c2o2s2x2 + -3cosx = 0 Reorder the terms: -3cosx + 8c2o2s2x2 = 0 Solving -3cosx + 8c2o2s2x2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-3 + 8cosx) = 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 '(-3 + 8cosx)' equal to zero and attempt to solve: Simplifying -3 + 8cosx = 0 Solving -3 + 8cosx = 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 + 8cosx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8cosx = 0 + 3 8cosx = 0 + 3 Combine like terms: 0 + 3 = 3 8cosx = 3 Divide each side by '8osx'. c = 0.375o-1s-1x-1 Simplifying c = 0.375o-1s-1x-1Solution
c = {0.375o-1s-1x-1}
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