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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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