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Simplifying (2x + tany) * dx + (x + -1x2tany) * dy = 0 Reorder the terms: (anty + 2x) * dx + (x + -1x2tany) * dy = 0 Reorder the terms for easier multiplication: dx(anty + 2x) + (x + -1x2tany) * dy = 0 (anty * dx + 2x * dx) + (x + -1x2tany) * dy = 0 (adntxy + 2dx2) + (x + -1x2tany) * dy = 0 Reorder the terms: adntxy + 2dx2 + (-1antx2y + x) * dy = 0 Reorder the terms for easier multiplication: adntxy + 2dx2 + dy(-1antx2y + x) = 0 adntxy + 2dx2 + (-1antx2y * dy + x * dy) = 0 adntxy + 2dx2 + (-1adntx2y2 + dxy) = 0 Reorder the terms: adntxy + -1adntx2y2 + dxy + 2dx2 = 0 Solving adntxy + -1adntx2y2 + dxy + 2dx2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1dxy' to each side of the equation. adntxy + -1adntx2y2 + dxy + -1dxy + 2dx2 = 0 + -1dxy Combine like terms: dxy + -1dxy = 0 adntxy + -1adntx2y2 + 0 + 2dx2 = 0 + -1dxy adntxy + -1adntx2y2 + 2dx2 = 0 + -1dxy Remove the zero: adntxy + -1adntx2y2 + 2dx2 = -1dxy Add '-2dx2' to each side of the equation. adntxy + -1adntx2y2 + 2dx2 + -2dx2 = -1dxy + -2dx2 Combine like terms: 2dx2 + -2dx2 = 0 adntxy + -1adntx2y2 + 0 = -1dxy + -2dx2 adntxy + -1adntx2y2 = -1dxy + -2dx2 Reorder the terms: adntxy + -1adntx2y2 + dxy + 2dx2 = -1dxy + dxy + -2dx2 + 2dx2 Combine like terms: -1dxy + dxy = 0 adntxy + -1adntx2y2 + dxy + 2dx2 = 0 + -2dx2 + 2dx2 adntxy + -1adntx2y2 + dxy + 2dx2 = -2dx2 + 2dx2 Combine like terms: -2dx2 + 2dx2 = 0 adntxy + -1adntx2y2 + dxy + 2dx2 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(anty + -1antxy2 + y + 2x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1dx' to each side of the equation. dx + -1dx = 0 + -1dx Remove the zero: 0 = -1dx Simplifying 0 = -1dx 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 '(anty + -1antxy2 + y + 2x)' equal to zero and attempt to solve: Simplifying anty + -1antxy2 + y + 2x = 0 Reorder the terms: -1antxy2 + anty + 2x + y = 0 Solving -1antxy2 + anty + 2x + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. -1antxy2 + anty + 2x + -2x + y = 0 + -2x Combine like terms: 2x + -2x = 0 -1antxy2 + anty + 0 + y = 0 + -2x -1antxy2 + anty + y = 0 + -2x Remove the zero: -1antxy2 + anty + y = -2x Add '-1y' to each side of the equation. -1antxy2 + anty + y + -1y = -2x + -1y Combine like terms: y + -1y = 0 -1antxy2 + anty + 0 = -2x + -1y -1antxy2 + anty = -2x + -1y 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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