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Simplifying cos(2x) + -3cosx = cost Remove parenthesis around (2x) cos * 2x + -3cosx = cost Reorder the terms for easier multiplication: 2cos * x + -3cosx = cost Multiply cos * x 2cosx + -3cosx = cost Combine like terms: 2cosx + -3cosx = -1cosx -1cosx = cost Solving -1cosx = cost Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cost' to each side of the equation. -1cost + -1cosx = cost + -1cost Combine like terms: cost + -1cost = 0 -1cost + -1cosx = 0 Factor out the Greatest Common Factor (GCF), '-1cos'. -1cos(t + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 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 '(t + x)' equal to zero and attempt to solve: Simplifying t + x = 0 Solving t + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t + x = 0 + -1t Combine like terms: t + -1t = 0 0 + x = 0 + -1t x = 0 + -1t Remove the zero: x = -1t Add '-1x' to each side of the equation. x + -1x = -1t + -1x Combine like terms: x + -1x = 0 0 = -1t + -1x Simplifying 0 = -1t + -1x 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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