5sec^2=6secx

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Solution for 5sec^2=6secx equation:


Simplifying
5sec2 = 6secx

Solving
5c2es = 6cesx

Solving for variable 'c'.

Reorder the terms:
-6cesx + 5c2es = 6cesx + -6cesx

Combine like terms: 6cesx + -6cesx = 0
-6cesx + 5c2es = 0

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

Subproblem 1

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

Solution

c = {1.2x}

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