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