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Simplifying cos2(x + 2) * cos(x + 1) = 0 Reorder the terms: cos2(2 + x) * cos(x + 1) = 0 Reorder the terms: cos2(2 + x) * cos(1 + x) = 0 Reorder the terms for easier multiplication: cos2 * cos(2 + x)(1 + x) = 0 Multiply cos2 * cos c2o2s3(2 + x)(1 + x) = 0 Multiply (2 + x) * (1 + x) c2o2s3(2(1 + x) + x(1 + x)) = 0 c2o2s3((1 * 2 + x * 2) + x(1 + x)) = 0 c2o2s3((2 + 2x) + x(1 + x)) = 0 c2o2s3(2 + 2x + (1 * x + x * x)) = 0 c2o2s3(2 + 2x + (1x + x2)) = 0 Combine like terms: 2x + 1x = 3x c2o2s3(2 + 3x + x2) = 0 (2 * c2o2s3 + 3x * c2o2s3 + x2 * c2o2s3) = 0 (2c2o2s3 + 3c2o2s3x + c2o2s3x2) = 0 Solving 2c2o2s3 + 3c2o2s3x + c2o2s3x2 = 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), 'c2o2s3'. c2o2s3(2 + 3x + x2) = 0 Factor a trinomial. c2o2s3((2 + x)(1 + x)) = 0Subproblem 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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