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Simplifying 2cos2(x + -5) * cos(x + -5) = 0 Reorder the terms: 2cos2(-5 + x) * cos(x + -5) = 0 Reorder the terms: 2cos2(-5 + x) * cos(-5 + x) = 0 Reorder the terms for easier multiplication: 2cos2 * cos(-5 + x)(-5 + x) = 0 Multiply cos2 * cos 2c2o2s3(-5 + x)(-5 + x) = 0 Multiply (-5 + x) * (-5 + x) 2c2o2s3(-5(-5 + x) + x(-5 + x)) = 0 2c2o2s3((-5 * -5 + x * -5) + x(-5 + x)) = 0 2c2o2s3((25 + -5x) + x(-5 + x)) = 0 2c2o2s3(25 + -5x + (-5 * x + x * x)) = 0 2c2o2s3(25 + -5x + (-5x + x2)) = 0 Combine like terms: -5x + -5x = -10x 2c2o2s3(25 + -10x + x2) = 0 (25 * 2c2o2s3 + -10x * 2c2o2s3 + x2 * 2c2o2s3) = 0 (50c2o2s3 + -20c2o2s3x + 2c2o2s3x2) = 0 Solving 50c2o2s3 + -20c2o2s3x + 2c2o2s3x2 = 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), '2c2o2s3'. 2c2o2s3(25 + -10x + x2) = 0 Factor a trinomial. 2c2o2s3((5 + -1x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c2o2s3' equal to zero and attempt to solve: Simplifying c2o2s3 = 0 Solving c2o2s3 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2o2s3 = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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