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Simplifying sin(5x) * cos(2x) + cos(5x) = 0 Remove parenthesis around (5x) ins * 5x * cos(2x) + cos(5x) = 0 Remove parenthesis around (2x) ins * 5x * cos * 2x + cos(5x) = 0 Reorder the terms for easier multiplication: 5 * 2ins * x * cos * x + cos(5x) = 0 Multiply 5 * 2 10ins * x * cos * x + cos(5x) = 0 Multiply ins * x 10insx * cos * x + cos(5x) = 0 Multiply insx * cos 10cinos2x * x + cos(5x) = 0 Multiply cinos2x * x 10cinos2x2 + cos(5x) = 0 Remove parenthesis around (5x) 10cinos2x2 + cos * 5x = 0 Reorder the terms for easier multiplication: 10cinos2x2 + 5cos * x = 0 Multiply cos * x 10cinos2x2 + 5cosx = 0 Solving 10cinos2x2 + 5cosx = 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), '5cosx'. 5cosx(2insx + 1) = 0 Ignore the factor 5.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 '(2insx + 1)' equal to zero and attempt to solve: Simplifying 2insx + 1 = 0 Reorder the terms: 1 + 2insx = 0 Solving 1 + 2insx = 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 + 2insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2insx = 0 + -1 2insx = 0 + -1 Combine like terms: 0 + -1 = -1 2insx = -1 Add '-2insx' to each side of the equation. 2insx + -2insx = -1 + -2insx Combine like terms: 2insx + -2insx = 0 0 = -1 + -2insx Simplifying 0 = -1 + -2insx 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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