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Simplifying 3(x2 + 3y2) * dx + x(x + -2y + 2) * dy = 0 Reorder the terms for easier multiplication: 3dx(x2 + 3y2) + x(x + -2y + 2) * dy = 0 (x2 * 3dx + 3y2 * 3dx) + x(x + -2y + 2) * dy = 0 Reorder the terms: (9dxy2 + 3dx3) + x(x + -2y + 2) * dy = 0 (9dxy2 + 3dx3) + x(x + -2y + 2) * dy = 0 Reorder the terms: 9dxy2 + 3dx3 + x(2 + x + -2y) * dy = 0 Reorder the terms for easier multiplication: 9dxy2 + 3dx3 + x * dy(2 + x + -2y) = 0 Multiply x * dy 9dxy2 + 3dx3 + dxy(2 + x + -2y) = 0 9dxy2 + 3dx3 + (2 * dxy + x * dxy + -2y * dxy) = 0 Reorder the terms: 9dxy2 + 3dx3 + (2dxy + -2dxy2 + dx2y) = 0 9dxy2 + 3dx3 + (2dxy + -2dxy2 + dx2y) = 0 Reorder the terms: 2dxy + 9dxy2 + -2dxy2 + dx2y + 3dx3 = 0 Combine like terms: 9dxy2 + -2dxy2 = 7dxy2 2dxy + 7dxy2 + dx2y + 3dx3 = 0 Solving 2dxy + 7dxy2 + dx2y + 3dx3 = 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(2y + 7y2 + xy + 3x2) = 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 '(2y + 7y2 + xy + 3x2)' equal to zero and attempt to solve: Simplifying 2y + 7y2 + xy + 3x2 = 0 Reorder the terms: xy + 3x2 + 2y + 7y2 = 0 Solving xy + 3x2 + 2y + 7y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. xy + 3x2 + 2y + -1xy + 7y2 = 0 + -1xy Reorder the terms: xy + -1xy + 3x2 + 2y + 7y2 = 0 + -1xy Combine like terms: xy + -1xy = 0 0 + 3x2 + 2y + 7y2 = 0 + -1xy 3x2 + 2y + 7y2 = 0 + -1xy Remove the zero: 3x2 + 2y + 7y2 = -1xy Add '-3x2' to each side of the equation. 3x2 + 2y + -3x2 + 7y2 = -1xy + -3x2 Reorder the terms: 3x2 + -3x2 + 2y + 7y2 = -1xy + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + 2y + 7y2 = -1xy + -3x2 2y + 7y2 = -1xy + -3x2 Add '-2y' to each side of the equation. 2y + -2y + 7y2 = -1xy + -3x2 + -2y Combine like terms: 2y + -2y = 0 0 + 7y2 = -1xy + -3x2 + -2y 7y2 = -1xy + -3x2 + -2y Add '-7y2' to each side of the equation. 7y2 + -7y2 = -1xy + -3x2 + -2y + -7y2 Combine like terms: 7y2 + -7y2 = 0 0 = -1xy + -3x2 + -2y + -7y2 Simplifying 0 = -1xy + -3x2 + -2y + -7y2 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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