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Simplifying (X2 + 3y2) * dx + -1(xy) * dy = 0 Reorder the terms for easier multiplication: dx(X2 + 3y2) + -1(xy) * dy = 0 (X2 * dx + 3y2 * dx) + -1(xy) * dy = 0 (dxX2 + 3dxy2) + -1(xy) * dy = 0 Multiply xy * dy dxX2 + 3dxy2 + -1dxy2 = 0 Combine like terms: 3dxy2 + -1dxy2 = 2dxy2 dxX2 + 2dxy2 = 0 Solving dxX2 + 2dxy2 = 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 + 2y2) = 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 + 2y2)' equal to zero and attempt to solve: Simplifying X2 + 2y2 = 0 Solving X2 + 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 + -1X2 + 2y2 = 0 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + 2y2 = 0 + -1X2 2y2 = 0 + -1X2 Remove the zero: 2y2 = -1X2 Add '-2y2' to each side of the equation. 2y2 + -2y2 = -1X2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = -1X2 + -2y2 Simplifying 0 = -1X2 + -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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