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Simplifying 19cos * 56 = 16cos * x Reorder the terms for easier multiplication: 19 * 56cos = 16cos * x Multiply 19 * 56 1064cos = 16cos * x Multiply cos * x 1064cos = 16cosx Solving 1064cos = 16cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16cosx' to each side of the equation. 1064cos + -16cosx = 16cosx + -16cosx Combine like terms: 16cosx + -16cosx = 0 1064cos + -16cosx = 0 Factor out the Greatest Common Factor (GCF), '8cos'. 8cos(133 + -2x) = 0 Ignore the factor 8.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 '(133 + -2x)' equal to zero and attempt to solve: Simplifying 133 + -2x = 0 Solving 133 + -2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-133' to each side of the equation. 133 + -133 + -2x = 0 + -133 Combine like terms: 133 + -133 = 0 0 + -2x = 0 + -133 -2x = 0 + -133 Combine like terms: 0 + -133 = -133 -2x = -133 Add '2x' to each side of the equation. -2x + 2x = -133 + 2x Combine like terms: -2x + 2x = 0 0 = -133 + 2x Simplifying 0 = -133 + 2x 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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