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Simplifying 3sec2x(tanx) = 4tanx Multiply c2esx * antx 3ac2enstx2 = 4tanx Solving 3ac2enstx2 = 4antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4antx' to each side of the equation. 3ac2enstx2 + -4antx = 4antx + -4antx Combine like terms: 4antx + -4antx = 0 3ac2enstx2 + -4antx = 0 Factor out the Greatest Common Factor (GCF), 'antx'. antx(3c2esx + -4) = 0Subproblem 1
Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 '(3c2esx + -4)' equal to zero and attempt to solve: Simplifying 3c2esx + -4 = 0 Reorder the terms: -4 + 3c2esx = 0 Solving -4 + 3c2esx = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3c2esx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3c2esx = 0 + 4 3c2esx = 0 + 4 Combine like terms: 0 + 4 = 4 3c2esx = 4 Add '-3c2esx' to each side of the equation. 3c2esx + -3c2esx = 4 + -3c2esx Combine like terms: 3c2esx + -3c2esx = 0 0 = 4 + -3c2esx Simplifying 0 = 4 + -3c2esx 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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