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