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Simplifying 2cos2x + sin2x = 2cosx Solving 2cos2x + in2sx = 2cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cosx' to each side of the equation. 2cos2x + -2cosx + in2sx = 2cosx + -2cosx Reorder the terms: -2cosx + 2cos2x + in2sx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -2cosx + 2cos2x + in2sx = 0 Add '-1in2sx' to each side of the equation. -2cosx + 2cos2x + in2sx + -1in2sx = 0 + -1in2sx Combine like terms: in2sx + -1in2sx = 0 -2cosx + 2cos2x + 0 = 0 + -1in2sx -2cosx + 2cos2x = 0 + -1in2sx Remove the zero: -2cosx + 2cos2x = -1in2sx Combine like terms: -1in2sx + in2sx = 0 -2cosx + 2cos2x + in2sx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(-2co + 2cos + in2) = 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 '(-2co + 2cos + in2)' equal to zero and attempt to solve: Simplifying -2co + 2cos + in2 = 0 Solving -2co + 2cos + in2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in2' to each side of the equation. -2co + 2cos + in2 + -1in2 = 0 + -1in2 Combine like terms: in2 + -1in2 = 0 -2co + 2cos + 0 = 0 + -1in2 -2co + 2cos = 0 + -1in2 Remove the zero: -2co + 2cos = -1in2 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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