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Simplifying (x2 * y2) * dx + (((x3) * y) + y + 3) * dy = 0 Multiply x2 * y2 (x2y2) * dx + (((x3) * y) + y + 3) * dy = 0 Multiply x2y2 * dx dx3y2 + (((x3) * y) + y + 3) * dy = 0 Multiply x3 * y dx3y2 + ((x3y) + y + 3) * dy = 0 dx3y2 + (x3y + y + 3) * dy = 0 Reorder the terms: dx3y2 + (3 + x3y + y) * dy = 0 Reorder the terms for easier multiplication: dx3y2 + dy(3 + x3y + y) = 0 dx3y2 + (3 * dy + x3y * dy + y * dy) = 0 Reorder the terms: dx3y2 + (dx3y2 + 3dy + dy2) = 0 dx3y2 + (dx3y2 + 3dy + dy2) = 0 Combine like terms: dx3y2 + dx3y2 = 2dx3y2 2dx3y2 + 3dy + dy2 = 0 Solving 2dx3y2 + 3dy + dy2 = 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(2x3y + 3 + y) = 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 '(2x3y + 3 + y)' equal to zero and attempt to solve: Simplifying 2x3y + 3 + y = 0 Reorder the terms: 3 + 2x3y + y = 0 Solving 3 + 2x3y + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2x3y + -3 + y = 0 + -3 Reorder the terms: 3 + -3 + 2x3y + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x3y + y = 0 + -3 2x3y + y = 0 + -3 Combine like terms: 0 + -3 = -3 2x3y + y = -3 Add '-2x3y' to each side of the equation. 2x3y + -2x3y + y = -3 + -2x3y Combine like terms: 2x3y + -2x3y = 0 0 + y = -3 + -2x3y y = -3 + -2x3y Add '-1y' to each side of the equation. y + -1y = -3 + -2x3y + -1y Combine like terms: y + -1y = 0 0 = -3 + -2x3y + -1y Simplifying 0 = -3 + -2x3y + -1y 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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