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Simplifying cos2x + cos2y + cos2(x + y) = 0 cos2x + cos2y + (x * cos2 + y * cos2) = 0 cos2x + cos2y + (cos2x + cos2y) = 0 Reorder the terms: cos2x + cos2x + cos2y + cos2y = 0 Combine like terms: cos2x + cos2x = 2cos2x 2cos2x + cos2y + cos2y = 0 Combine like terms: cos2y + cos2y = 2cos2y 2cos2x + 2cos2y = 0 Solving 2cos2x + 2cos2y = 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), '2cos2'. 2cos2(x + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cos2' equal to zero and attempt to solve: Simplifying cos2 = 0 Solving cos2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2 = 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 '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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