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Simplifying (3x2 + y) * dy + (x2y + -1x) * dy = 0 Reorder the terms for easier multiplication: dy(3x2 + y) + (x2y + -1x) * dy = 0 (3x2 * dy + y * dy) + (x2y + -1x) * dy = 0 (3dx2y + dy2) + (x2y + -1x) * dy = 0 Reorder the terms: 3dx2y + dy2 + (-1x + x2y) * dy = 0 Reorder the terms for easier multiplication: 3dx2y + dy2 + dy(-1x + x2y) = 0 3dx2y + dy2 + (-1x * dy + x2y * dy) = 0 3dx2y + dy2 + (-1dxy + dx2y2) = 0 Reorder the terms: -1dxy + 3dx2y + dx2y2 + dy2 = 0 Solving -1dxy + 3dx2y + dx2y2 + 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(-1x + 3x2 + x2y + 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 '(-1x + 3x2 + x2y + y)' equal to zero and attempt to solve: Simplifying -1x + 3x2 + x2y + y = 0 Solving -1x + 3x2 + x2y + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 3x2 + x2y + x + y = 0 + x Reorder the terms: -1x + x + 3x2 + x2y + y = 0 + x Combine like terms: -1x + x = 0 0 + 3x2 + x2y + y = 0 + x 3x2 + x2y + y = 0 + x Remove the zero: 3x2 + x2y + y = x Add '-3x2' to each side of the equation. 3x2 + x2y + -3x2 + y = x + -3x2 Reorder the terms: 3x2 + -3x2 + x2y + y = x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + x2y + y = x + -3x2 x2y + y = x + -3x2 Add '-1x2y' to each side of the equation. x2y + -1x2y + y = x + -3x2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + y = x + -3x2 + -1x2y y = x + -3x2 + -1x2y Add '-1y' to each side of the equation. y + -1y = x + -3x2 + -1x2y + -1y Combine like terms: y + -1y = 0 0 = x + -3x2 + -1x2y + -1y Simplifying 0 = x + -3x2 + -1x2y + -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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