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Simplifying cos(6x)(5x + 3) = 0 Remove parenthesis around (6x) cos * 6x(5x + 3) = 0 Reorder the terms: cos * 6x(3 + 5x) = 0 Reorder the terms for easier multiplication: 6cos * x(3 + 5x) = 0 Multiply cos * x 6cosx(3 + 5x) = 0 (3 * 6cosx + 5x * 6cosx) = 0 (18cosx + 30cosx2) = 0 Solving 18cosx + 30cosx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6cosx'. 6cosx(3 + 5x) = 0 Ignore the factor 6.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 '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Add '-5x' to each side of the equation. 5x + -5x = -3 + -5x Combine like terms: 5x + -5x = 0 0 = -3 + -5x Simplifying 0 = -3 + -5x 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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