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Simplifying -8cos2x + 8senx * cosx = 0 Multiply ensx * cosx -8cos2x + 8cenos2x2 = 0 Reorder the terms: 8cenos2x2 + -8cos2x = 0 Solving 8cenos2x2 + -8cos2x = 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), '8cos2x'. 8cos2x(enx + -1) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 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 '(enx + -1)' equal to zero and attempt to solve: Simplifying enx + -1 = 0 Reorder the terms: -1 + enx = 0 Solving -1 + enx = 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 + enx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + enx = 0 + 1 enx = 0 + 1 Combine like terms: 0 + 1 = 1 enx = 1 Add '-1enx' to each side of the equation. enx + -1enx = 1 + -1enx Combine like terms: enx + -1enx = 0 0 = 1 + -1enx Simplifying 0 = 1 + -1enx 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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