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Simplifying (xy) * dx + (2x2 + 3y + -20) * dy = 0 Multiply xy * dx dx2y + (2x2 + 3y + -20) * dy = 0 Reorder the terms: dx2y + (-20 + 2x2 + 3y) * dy = 0 Reorder the terms for easier multiplication: dx2y + dy(-20 + 2x2 + 3y) = 0 dx2y + (-20 * dy + 2x2 * dy + 3y * dy) = 0 Reorder the terms: dx2y + (2dx2y + -20dy + 3dy2) = 0 dx2y + (2dx2y + -20dy + 3dy2) = 0 Combine like terms: dx2y + 2dx2y = 3dx2y 3dx2y + -20dy + 3dy2 = 0 Solving 3dx2y + -20dy + 3dy2 = 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(3x2 + -20 + 3y) = 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 '(3x2 + -20 + 3y)' equal to zero and attempt to solve: Simplifying 3x2 + -20 + 3y = 0 Reorder the terms: -20 + 3x2 + 3y = 0 Solving -20 + 3x2 + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 3x2 + 20 + 3y = 0 + 20 Reorder the terms: -20 + 20 + 3x2 + 3y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3x2 + 3y = 0 + 20 3x2 + 3y = 0 + 20 Combine like terms: 0 + 20 = 20 3x2 + 3y = 20 Add '-3x2' to each side of the equation. 3x2 + -3x2 + 3y = 20 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + 3y = 20 + -3x2 3y = 20 + -3x2 Add '-3y' to each side of the equation. 3y + -3y = 20 + -3x2 + -3y Combine like terms: 3y + -3y = 0 0 = 20 + -3x2 + -3y Simplifying 0 = 20 + -3x2 + -3y 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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