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Simplifying cos(45 + -1x) + cos(45 + -1x) = 0 (45 * cos + -1x * cos) + cos(45 + -1x) = 0 (45cos + -1cosx) + cos(45 + -1x) = 0 45cos + -1cosx + (45 * cos + -1x * cos) = 0 45cos + -1cosx + (45cos + -1cosx) = 0 Reorder the terms: 45cos + 45cos + -1cosx + -1cosx = 0 Combine like terms: 45cos + 45cos = 90cos 90cos + -1cosx + -1cosx = 0 Combine like terms: -1cosx + -1cosx = -2cosx 90cos + -2cosx = 0 Solving 90cos + -2cosx = 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), '2cos'. 2cos(45 + -1x) = 0 Ignore the factor 2.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 '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 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 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Add 'x' to each side of the equation. -1x + x = -45 + x Combine like terms: -1x + x = 0 0 = -45 + x Simplifying 0 = -45 + x 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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