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Simplifying cos(5x) + sin(7x) * cos(3x) = 0 Remove parenthesis around (5x) cos * 5x + sin(7x) * cos(3x) = 0 Reorder the terms for easier multiplication: 5cos * x + sin(7x) * cos(3x) = 0 Multiply cos * x 5cosx + sin(7x) * cos(3x) = 0 Remove parenthesis around (7x) 5cosx + ins * 7x * cos(3x) = 0 Remove parenthesis around (3x) 5cosx + ins * 7x * cos * 3x = 0 Reorder the terms for easier multiplication: 5cosx + 7 * 3ins * x * cos * x = 0 Multiply 7 * 3 5cosx + 21ins * x * cos * x = 0 Multiply ins * x 5cosx + 21insx * cos * x = 0 Multiply insx * cos 5cosx + 21cinos2x * x = 0 Multiply cinos2x * x 5cosx + 21cinos2x2 = 0 Reorder the terms: 21cinos2x2 + 5cosx = 0 Solving 21cinos2x2 + 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), 'cosx'. cosx(21insx + 5) = 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 '(21insx + 5)' equal to zero and attempt to solve: Simplifying 21insx + 5 = 0 Reorder the terms: 5 + 21insx = 0 Solving 5 + 21insx = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 21insx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 21insx = 0 + -5 21insx = 0 + -5 Combine like terms: 0 + -5 = -5 21insx = -5 Add '-21insx' to each side of the equation. 21insx + -21insx = -5 + -21insx Combine like terms: 21insx + -21insx = 0 0 = -5 + -21insx Simplifying 0 = -5 + -21insx 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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