Sec^2x+4secx=0

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Solution for Sec^2x+4secx=0 equation:


Simplifying
Sec2x + 4secx = 0

Reorder the terms:
4cesx + c2exS = 0

Solving
4cesx + c2exS = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'cex'.
cex(4s + cS) = 0

Subproblem 1

Set the factor 'cex' equal to zero and attempt to solve: Simplifying cex = 0 Solving cex = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cex = 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 '(4s + cS)' equal to zero and attempt to solve: Simplifying 4s + cS = 0 Reorder the terms: cS + 4s = 0 Solving cS + 4s = 0 Move all terms containing c to the left, all other terms to the right. Add '-4s' to each side of the equation. cS + 4s + -4s = 0 + -4s Combine like terms: 4s + -4s = 0 cS + 0 = 0 + -4s cS = 0 + -4s Remove the zero: cS = -4s Divide each side by 'S'. c = -4sS-1 Simplifying c = -4sS-1

Solution

c = {-4sS-1}

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