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Simplifying cos2x + cosx + -1sin2x = 0 Reorder the terms: cosx + cos2x + -1in2sx = 0 Solving cosx + cos2x + -1in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'in2sx' to each side of the equation. cosx + cos2x + -1in2sx + in2sx = 0 + in2sx Combine like terms: -1in2sx + in2sx = 0 cosx + cos2x + 0 = 0 + in2sx cosx + cos2x = 0 + in2sx Remove the zero: cosx + cos2x = in2sx Combine like terms: in2sx + -1in2sx = 0 cosx + cos2x + -1in2sx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(co + cos + -1in2) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(co + cos + -1in2)' equal to zero and attempt to solve: Simplifying co + cos + -1in2 = 0 Solving co + cos + -1in2 = 0 Move all terms containing c to the left, all other terms to the right. Add 'in2' to each side of the equation. co + cos + -1in2 + in2 = 0 + in2 Combine like terms: -1in2 + in2 = 0 co + cos + 0 = 0 + in2 co + cos = 0 + in2 Remove the zero: co + cos = in2 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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