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Simplifying 3((3x2) + (y2)) * dx + -1(2xy * dy) = 0 3((3x2) + y2) * dx + -1(2xy * dy) = 0 Reorder the terms for easier multiplication: 3dx((3x2) + y2) + -1(2xy * dy) = 0 ((3x2) * 3dx + y2 * 3dx) + -1(2xy * dy) = 0 Reorder the terms: (3dxy2 + 9dx3) + -1(2xy * dy) = 0 (3dxy2 + 9dx3) + -1(2xy * dy) = 0 Multiply xy * dy 3dxy2 + 9dx3 + -1(2dxy2) = 0 Remove parenthesis around (2dxy2) 3dxy2 + 9dx3 + -1 * 2dxy2 = 0 Multiply -1 * 2 3dxy2 + 9dx3 + -2dxy2 = 0 Reorder the terms: 3dxy2 + -2dxy2 + 9dx3 = 0 Combine like terms: 3dxy2 + -2dxy2 = 1dxy2 1dxy2 + 9dx3 = 0 Solving 1dxy2 + 9dx3 = 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(y2 + 9x2) = 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 '(y2 + 9x2)' equal to zero and attempt to solve: Simplifying y2 + 9x2 = 0 Reorder the terms: 9x2 + y2 = 0 Solving 9x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-9x2' to each side of the equation. 9x2 + -9x2 + y2 = 0 + -9x2 Combine like terms: 9x2 + -9x2 = 0 0 + y2 = 0 + -9x2 y2 = 0 + -9x2 Remove the zero: y2 = -9x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -9x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -9x2 + -1y2 Simplifying 0 = -9x2 + -1y2 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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