5sec^2x=6secx

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Solution for 5sec^2x=6secx equation:


Simplifying
5sec2x = 6secx

Solving
5c2esx = 6cesx

Solving for variable 'c'.

Reorder the terms:
-6cesx + 5c2esx = 6cesx + -6cesx

Combine like terms: 6cesx + -6cesx = 0
-6cesx + 5c2esx = 0

Factor out the Greatest Common Factor (GCF), 'cesx'.
cesx(-6 + 5c) = 0

Subproblem 1

Set the factor 'cesx' equal to zero and attempt to solve: Simplifying cesx = 0 Solving cesx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cesx = 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 '(-6 + 5c)' equal to zero and attempt to solve: Simplifying -6 + 5c = 0 Solving -6 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5c = 0 + 6 5c = 0 + 6 Combine like terms: 0 + 6 = 6 5c = 6 Divide each side by '5'. c = 1.2 Simplifying c = 1.2

Solution

c = {1.2}

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