Sec(4x)-sec(2x)=2

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Solution for Sec(4x)-sec(2x)=2 equation:


Simplifying
Sec(4x) + -1sec(2x) = 2

Remove parenthesis around (4x)
ceS * 4x + -1sec(2x) = 2

Reorder the terms for easier multiplication:
4ceS * x + -1sec(2x) = 2

Multiply ceS * x
4cexS + -1sec(2x) = 2

Remove parenthesis around (2x)
4cexS + -1ces * 2x = 2

Reorder the terms for easier multiplication:
4cexS + -1 * 2ces * x = 2

Multiply -1 * 2
4cexS + -2ces * x = 2

Multiply ces * x
4cexS + -2cesx = 2

Reorder the terms:
-2cesx + 4cexS = 2

Solving
-2cesx + 4cexS = 2

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Reorder the terms:
-2 + -2cesx + 4cexS = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2cesx + 4cexS = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1cesx + 2cexS) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1cesx + 2cexS)' equal to zero and attempt to solve: Simplifying -1 + -1cesx + 2cexS = 0 Solving -1 + -1cesx + 2cexS = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1cesx + 1 + 2cexS = 0 + 1 Reorder the terms: -1 + 1 + -1cesx + 2cexS = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1cesx + 2cexS = 0 + 1 -1cesx + 2cexS = 0 + 1 Combine like terms: 0 + 1 = 1 -1cesx + 2cexS = 1 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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