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Simplifying (y * sec2 * x + sec * xtan * x) * dx + (tan * x + 2y) * dy = 0 Multiply y * c2es (c2esy * x + sec * xtan * x) * dx + (tan * x + 2y) * dy = 0 Multiply c2esy * x (c2esxy + sec * xtan * x) * dx + (tan * x + 2y) * dy = 0 Multiply ces * antx (c2esxy + acenstx * x) * dx + (tan * x + 2y) * dy = 0 Multiply acenstx * x (c2esxy + acenstx2) * dx + (tan * x + 2y) * dy = 0 Reorder the terms: (acenstx2 + c2esxy) * dx + (tan * x + 2y) * dy = 0 Reorder the terms for easier multiplication: dx(acenstx2 + c2esxy) + (tan * x + 2y) * dy = 0 (acenstx2 * dx + c2esxy * dx) + (tan * x + 2y) * dy = 0 (acdenstx3 + c2desx2y) + (tan * x + 2y) * dy = 0 Multiply ant * x acdenstx3 + c2desx2y + (antx + 2y) * dy = 0 Reorder the terms for easier multiplication: acdenstx3 + c2desx2y + dy(antx + 2y) = 0 acdenstx3 + c2desx2y + (antx * dy + 2y * dy) = 0 acdenstx3 + c2desx2y + (adntxy + 2dy2) = 0 Reorder the terms: acdenstx3 + adntxy + c2desx2y + 2dy2 = 0 Solving acdenstx3 + adntxy + c2desx2y + 2dy2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1c2desx2y' to each side of the equation. acdenstx3 + adntxy + c2desx2y + -1c2desx2y + 2dy2 = 0 + -1c2desx2y Combine like terms: c2desx2y + -1c2desx2y = 0 acdenstx3 + adntxy + 0 + 2dy2 = 0 + -1c2desx2y acdenstx3 + adntxy + 2dy2 = 0 + -1c2desx2y Remove the zero: acdenstx3 + adntxy + 2dy2 = -1c2desx2y Add '-2dy2' to each side of the equation. acdenstx3 + adntxy + 2dy2 + -2dy2 = -1c2desx2y + -2dy2 Combine like terms: 2dy2 + -2dy2 = 0 acdenstx3 + adntxy + 0 = -1c2desx2y + -2dy2 acdenstx3 + adntxy = -1c2desx2y + -2dy2 Reorder the terms: acdenstx3 + adntxy + c2desx2y + 2dy2 = -1c2desx2y + c2desx2y + -2dy2 + 2dy2 Combine like terms: -1c2desx2y + c2desx2y = 0 acdenstx3 + adntxy + c2desx2y + 2dy2 = 0 + -2dy2 + 2dy2 acdenstx3 + adntxy + c2desx2y + 2dy2 = -2dy2 + 2dy2 Combine like terms: -2dy2 + 2dy2 = 0 acdenstx3 + adntxy + c2desx2y + 2dy2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(acenstx3 + antxy + c2esx2y + 2y2) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing a to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d = 0 + -1d Remove the zero: 0 = -1d Simplifying 0 = -1d 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 '(acenstx3 + antxy + c2esx2y + 2y2)' equal to zero and attempt to solve: Simplifying acenstx3 + antxy + c2esx2y + 2y2 = 0 Solving acenstx3 + antxy + c2esx2y + 2y2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c2esx2y' to each side of the equation. acenstx3 + antxy + c2esx2y + -1c2esx2y + 2y2 = 0 + -1c2esx2y Combine like terms: c2esx2y + -1c2esx2y = 0 acenstx3 + antxy + 0 + 2y2 = 0 + -1c2esx2y acenstx3 + antxy + 2y2 = 0 + -1c2esx2y Remove the zero: acenstx3 + antxy + 2y2 = -1c2esx2y Add '-2y2' to each side of the equation. acenstx3 + antxy + 2y2 + -2y2 = -1c2esx2y + -2y2 Combine like terms: 2y2 + -2y2 = 0 acenstx3 + antxy + 0 = -1c2esx2y + -2y2 acenstx3 + antxy = -1c2esx2y + -2y2 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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