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Simplifying 4cos2(x) + 2cos(x) + -2sqrt(2cos(x)) + sqrt(2) = sqrt(2) Multiply cos2 * x 4cos2x + 2cos(x) + -2sqrt(2cos(x)) + sqrt(2) = sqrt(2) Multiply cos * x 4cos2x + 2cosx + -2sqrt(2cos(x)) + sqrt(2) = sqrt(2) Multiply cos * x 4cos2x + 2cosx + -2qrst(2cosx) + sqrt(2) = sqrt(2) Remove parenthesis around (2cosx) 4cos2x + 2cosx + -2qrst * 2cosx + sqrt(2) = sqrt(2) Reorder the terms for easier multiplication: 4cos2x + 2cosx + -2 * 2qrst * cosx + sqrt(2) = sqrt(2) Multiply -2 * 2 4cos2x + 2cosx + -4qrst * cosx + sqrt(2) = sqrt(2) Multiply qrst * cosx 4cos2x + 2cosx + -4coqrs2tx + sqrt(2) = sqrt(2) Reorder the terms for easier multiplication: 4cos2x + 2cosx + -4coqrs2tx + 2qrst = sqrt(2) Reorder the terms: -4coqrs2tx + 2cosx + 4cos2x + 2qrst = sqrt(2) Reorder the terms for easier multiplication: -4coqrs2tx + 2cosx + 4cos2x + 2qrst = 2qrst Add '-2qrst' to each side of the equation. -4coqrs2tx + 2cosx + 4cos2x + 2qrst + -2qrst = 2qrst + -2qrst Combine like terms: 2qrst + -2qrst = 0 -4coqrs2tx + 2cosx + 4cos2x + 0 = 2qrst + -2qrst -4coqrs2tx + 2cosx + 4cos2x = 2qrst + -2qrst Combine like terms: 2qrst + -2qrst = 0 -4coqrs2tx + 2cosx + 4cos2x = 0 Solving -4coqrs2tx + 2cosx + 4cos2x = 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), '2cosx'. 2cosx(-2qrst + 1 + 2s) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(-2qrst + 1 + 2s)' equal to zero and attempt to solve: Simplifying -2qrst + 1 + 2s = 0 Reorder the terms: 1 + -2qrst + 2s = 0 Solving 1 + -2qrst + 2s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2qrst + -1 + 2s = 0 + -1 Reorder the terms: 1 + -1 + -2qrst + 2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2qrst + 2s = 0 + -1 -2qrst + 2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2qrst + 2s = -1 Add '2qrst' to each side of the equation. -2qrst + 2qrst + 2s = -1 + 2qrst Combine like terms: -2qrst + 2qrst = 0 0 + 2s = -1 + 2qrst 2s = -1 + 2qrst Add '-2s' to each side of the equation. 2s + -2s = -1 + 2qrst + -2s Combine like terms: 2s + -2s = 0 0 = -1 + 2qrst + -2s Simplifying 0 = -1 + 2qrst + -2s 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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