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Simplifying y(2x2 + -1xy + 1) * dx + (x + -1y) * dy = 0 Reorder the terms: y(1 + -1xy + 2x2) * dx + (x + -1y) * dy = 0 Reorder the terms for easier multiplication: y * dx(1 + -1xy + 2x2) + (x + -1y) * dy = 0 Multiply y * dx dxy(1 + -1xy + 2x2) + (x + -1y) * dy = 0 (1 * dxy + -1xy * dxy + 2x2 * dxy) + (x + -1y) * dy = 0 (1dxy + -1dx2y2 + 2dx3y) + (x + -1y) * dy = 0 Reorder the terms for easier multiplication: 1dxy + -1dx2y2 + 2dx3y + dy(x + -1y) = 0 1dxy + -1dx2y2 + 2dx3y + (x * dy + -1y * dy) = 0 1dxy + -1dx2y2 + 2dx3y + (dxy + -1dy2) = 0 Reorder the terms: 1dxy + dxy + -1dx2y2 + 2dx3y + -1dy2 = 0 Combine like terms: 1dxy + dxy = 2dxy 2dxy + -1dx2y2 + 2dx3y + -1dy2 = 0 Solving 2dxy + -1dx2y2 + 2dx3y + -1dy2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dy'. dy(2x + -1x2y + 2x3 + -1y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(2x + -1x2y + 2x3 + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1x2y + 2x3 + -1y = 0 Solving 2x + -1x2y + 2x3 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -1x2y + 2x3 + -2x + -1y = 0 + -2x Reorder the terms: 2x + -2x + -1x2y + 2x3 + -1y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -1x2y + 2x3 + -1y = 0 + -2x -1x2y + 2x3 + -1y = 0 + -2x Remove the zero: -1x2y + 2x3 + -1y = -2x Add 'x2y' to each side of the equation. -1x2y + 2x3 + x2y + -1y = -2x + x2y Reorder the terms: -1x2y + x2y + 2x3 + -1y = -2x + x2y Combine like terms: -1x2y + x2y = 0 0 + 2x3 + -1y = -2x + x2y 2x3 + -1y = -2x + x2y Add '-2x3' to each side of the equation. 2x3 + -2x3 + -1y = -2x + x2y + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + -1y = -2x + x2y + -2x3 -1y = -2x + x2y + -2x3 Add 'y' to each side of the equation. -1y + y = -2x + x2y + -2x3 + y Combine like terms: -1y + y = 0 0 = -2x + x2y + -2x3 + y Simplifying 0 = -2x + x2y + -2x3 + y 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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