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Simplifying (X2 + -2x + 2y2) * dx + 2xdy = 0 Reorder the terms for easier multiplication: dx(X2 + -2x + 2y2) + 2xdy = 0 (X2 * dx + -2x * dx + 2y2 * dx) + 2xdy = 0 Reorder the terms: (dxX2 + 2dxy2 + -2dx2) + 2xdy = 0 (dxX2 + 2dxy2 + -2dx2) + 2xdy = 0 Reorder the terms: dxX2 + 2dxy + 2dxy2 + -2dx2 = 0 Solving dxX2 + 2dxy + 2dxy2 + -2dx2 = 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), 'dx'. dx(X2 + 2y + 2y2 + -2x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(X2 + 2y + 2y2 + -2x)' equal to zero and attempt to solve: Simplifying X2 + 2y + 2y2 + -2x = 0 Reorder the terms: X2 + -2x + 2y + 2y2 = 0 Solving X2 + -2x + 2y + 2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1X2' to each side of the equation. X2 + -2x + 2y + -1X2 + 2y2 = 0 + -1X2 Reorder the terms: X2 + -1X2 + -2x + 2y + 2y2 = 0 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + -2x + 2y + 2y2 = 0 + -1X2 -2x + 2y + 2y2 = 0 + -1X2 Remove the zero: -2x + 2y + 2y2 = -1X2 Add '2x' to each side of the equation. -2x + 2y + 2x + 2y2 = -1X2 + 2x Reorder the terms: -2x + 2x + 2y + 2y2 = -1X2 + 2x Combine like terms: -2x + 2x = 0 0 + 2y + 2y2 = -1X2 + 2x 2y + 2y2 = -1X2 + 2x Add '-2y' to each side of the equation. 2y + -2y + 2y2 = -1X2 + 2x + -2y Combine like terms: 2y + -2y = 0 0 + 2y2 = -1X2 + 2x + -2y 2y2 = -1X2 + 2x + -2y Add '-2y2' to each side of the equation. 2y2 + -2y2 = -1X2 + 2x + -2y + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = -1X2 + 2x + -2y + -2y2 Simplifying 0 = -1X2 + 2x + -2y + -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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