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Simplifying 4sen2x * cosx = 2cosx Multiply en2sx * cosx 4cen2os2x2 = 2cosx Solving 4cen2os2x2 = 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. 4cen2os2x2 + -2cosx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 4cen2os2x2 + -2cosx = 0 Factor out the Greatest Common Factor (GCF), '2cosx'. 2cosx(2en2sx + -1) = 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 '(2en2sx + -1)' equal to zero and attempt to solve: Simplifying 2en2sx + -1 = 0 Reorder the terms: -1 + 2en2sx = 0 Solving -1 + 2en2sx = 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 + 2en2sx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2en2sx = 0 + 1 2en2sx = 0 + 1 Combine like terms: 0 + 1 = 1 2en2sx = 1 Add '-2en2sx' to each side of the equation. 2en2sx + -2en2sx = 1 + -2en2sx Combine like terms: 2en2sx + -2en2sx = 0 0 = 1 + -2en2sx Simplifying 0 = 1 + -2en2sx 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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