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Simplifying 0 = 3cos(x + 1) Reorder the terms: 0 = 3cos(1 + x) 0 = (1 * 3cos + x * 3cos) 0 = (3cos + 3cosx) Solving 0 = 3cos + 3cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cos' to each side of the equation. 0 + -3cos = 3cos + -3cos + 3cosx Remove the zero: -3cos = 3cos + -3cos + 3cosx Combine like terms: 3cos + -3cos = 0 -3cos = 0 + 3cosx -3cos = 3cosx Add '-3cosx' to each side of the equation. -3cos + -3cosx = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -3cos + -3cosx = 0 Factor out the Greatest Common Factor (GCF), '-3cos'. -3cos(1 + x) = 0 Ignore the factor -3.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -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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