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Simplifying cos(45 + -1x) = cosx (45 * cos + -1x * cos) = cosx (45cos + -1cosx) = cosx Solving 45cos + -1cosx = cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cosx' to each side of the equation. 45cos + -1cosx + -1cosx = cosx + -1cosx Combine like terms: -1cosx + -1cosx = -2cosx 45cos + -2cosx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 45cos + -2cosx = 0 Factor out the Greatest Common Factor (GCF), 'cos'. cos(45 + -2x) = 0Subproblem 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 '(45 + -2x)' equal to zero and attempt to solve: Simplifying 45 + -2x = 0 Solving 45 + -2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -2x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 0 + -45 -2x = 0 + -45 Combine like terms: 0 + -45 = -45 -2x = -45 Add '2x' to each side of the equation. -2x + 2x = -45 + 2x Combine like terms: -2x + 2x = 0 0 = -45 + 2x Simplifying 0 = -45 + 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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