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Simplifying n * cos(2x) + -1s * cos(3x) + -1s * cos(x) = 0 Remove parenthesis around (2x) n * cos * 2x + -1s * cos(3x) + -1s * cos(x) = 0 Reorder the terms for easier multiplication: 2n * cos * x + -1s * cos(3x) + -1s * cos(x) = 0 Multiply n * cos 2cnos * x + -1s * cos(3x) + -1s * cos(x) = 0 Multiply cnos * x 2cnosx + -1s * cos(3x) + -1s * cos(x) = 0 Remove parenthesis around (3x) 2cnosx + -1s * cos * 3x + -1s * cos(x) = 0 Reorder the terms for easier multiplication: 2cnosx + -1 * 3s * cos * x + -1s * cos(x) = 0 Multiply -1 * 3 2cnosx + -3s * cos * x + -1s * cos(x) = 0 Multiply s * cos 2cnosx + -3cos2 * x + -1s * cos(x) = 0 Multiply cos2 * x 2cnosx + -3cos2x + -1s * cos(x) = 0 Multiply s * cos 2cnosx + -3cos2x + -1cos2 * x = 0 Multiply cos2 * x 2cnosx + -3cos2x + -1cos2x = 0 Combine like terms: -3cos2x + -1cos2x = -4cos2x 2cnosx + -4cos2x = 0 Solving 2cnosx + -4cos2x = 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), '2cosx'. 2cosx(n + -2s) = 0 Ignore the factor 2.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 '(n + -2s)' equal to zero and attempt to solve: Simplifying n + -2s = 0 Solving n + -2s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n + -2s = 0 + -1n Combine like terms: n + -1n = 0 0 + -2s = 0 + -1n -2s = 0 + -1n Remove the zero: -2s = -1n Add '2s' to each side of the equation. -2s + 2s = -1n + 2s Combine like terms: -2s + 2s = 0 0 = -1n + 2s Simplifying 0 = -1n + 2s 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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