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Simplifying (2xy + y + -1tany) * dx + (x2 + -1xtan2y + sec2y) * dy = 0 Reorder the terms: (-1anty + 2xy + y) * dx + (x2 + -1xtan2y + sec2y) * dy = 0 Reorder the terms for easier multiplication: dx(-1anty + 2xy + y) + (x2 + -1xtan2y + sec2y) * dy = 0 (-1anty * dx + 2xy * dx + y * dx) + (x2 + -1xtan2y + sec2y) * dy = 0 Reorder the terms: (-1adntxy + dxy + 2dx2y) + (x2 + -1xtan2y + sec2y) * dy = 0 (-1adntxy + dxy + 2dx2y) + (x2 + -1xtan2y + sec2y) * dy = 0 Reorder the terms: -1adntxy + dxy + 2dx2y + (-1an2txy + c2esy + x2) * dy = 0 Reorder the terms for easier multiplication: -1adntxy + dxy + 2dx2y + dy(-1an2txy + c2esy + x2) = 0 -1adntxy + dxy + 2dx2y + (-1an2txy * dy + c2esy * dy + x2 * dy) = 0 -1adntxy + dxy + 2dx2y + (-1adn2txy2 + c2desy2 + dx2y) = 0 Reorder the terms: -1adntxy + -1adn2txy2 + c2desy2 + dxy + 2dx2y + dx2y = 0 Combine like terms: 2dx2y + dx2y = 3dx2y -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = 0 Solving -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1c2desy2' to each side of the equation. -1adntxy + -1adn2txy2 + c2desy2 + dxy + -1c2desy2 + 3dx2y = 0 + -1c2desy2 Reorder the terms: -1adntxy + -1adn2txy2 + c2desy2 + -1c2desy2 + dxy + 3dx2y = 0 + -1c2desy2 Combine like terms: c2desy2 + -1c2desy2 = 0 -1adntxy + -1adn2txy2 + 0 + dxy + 3dx2y = 0 + -1c2desy2 -1adntxy + -1adn2txy2 + dxy + 3dx2y = 0 + -1c2desy2 Remove the zero: -1adntxy + -1adn2txy2 + dxy + 3dx2y = -1c2desy2 Add '-1dxy' to each side of the equation. -1adntxy + -1adn2txy2 + dxy + -1dxy + 3dx2y = -1c2desy2 + -1dxy Combine like terms: dxy + -1dxy = 0 -1adntxy + -1adn2txy2 + 0 + 3dx2y = -1c2desy2 + -1dxy -1adntxy + -1adn2txy2 + 3dx2y = -1c2desy2 + -1dxy Add '-3dx2y' to each side of the equation. -1adntxy + -1adn2txy2 + 3dx2y + -3dx2y = -1c2desy2 + -1dxy + -3dx2y Combine like terms: 3dx2y + -3dx2y = 0 -1adntxy + -1adn2txy2 + 0 = -1c2desy2 + -1dxy + -3dx2y -1adntxy + -1adn2txy2 = -1c2desy2 + -1dxy + -3dx2y Reorder the terms: -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = -1c2desy2 + c2desy2 + -1dxy + dxy + -3dx2y + 3dx2y Combine like terms: -1c2desy2 + c2desy2 = 0 -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = 0 + -1dxy + dxy + -3dx2y + 3dx2y -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = -1dxy + dxy + -3dx2y + 3dx2y Combine like terms: -1dxy + dxy = 0 -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = 0 + -3dx2y + 3dx2y -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = -3dx2y + 3dx2y Combine like terms: -3dx2y + 3dx2y = 0 -1adntxy + -1adn2txy2 + c2desy2 + dxy + 3dx2y = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1antx + -1an2txy + c2esy + x + 3x2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing a to the left, all other terms to the right. Add '-1dy' to each side of the equation. dy + -1dy = 0 + -1dy Remove the zero: 0 = -1dy Simplifying 0 = -1dy 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 '(-1antx + -1an2txy + c2esy + x + 3x2)' equal to zero and attempt to solve: Simplifying -1antx + -1an2txy + c2esy + x + 3x2 = 0 Solving -1antx + -1an2txy + c2esy + x + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c2esy' to each side of the equation. -1antx + -1an2txy + c2esy + x + -1c2esy + 3x2 = 0 + -1c2esy Reorder the terms: -1antx + -1an2txy + c2esy + -1c2esy + x + 3x2 = 0 + -1c2esy Combine like terms: c2esy + -1c2esy = 0 -1antx + -1an2txy + 0 + x + 3x2 = 0 + -1c2esy -1antx + -1an2txy + x + 3x2 = 0 + -1c2esy Remove the zero: -1antx + -1an2txy + x + 3x2 = -1c2esy Add '-1x' to each side of the equation. -1antx + -1an2txy + x + -1x + 3x2 = -1c2esy + -1x Combine like terms: x + -1x = 0 -1antx + -1an2txy + 0 + 3x2 = -1c2esy + -1x -1antx + -1an2txy + 3x2 = -1c2esy + -1x Add '-3x2' to each side of the equation. -1antx + -1an2txy + 3x2 + -3x2 = -1c2esy + -1x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1antx + -1an2txy + 0 = -1c2esy + -1x + -3x2 -1antx + -1an2txy = -1c2esy + -1x + -3x2 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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