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Simplifying (xy + -2y2) + -1(x2 + -3xy) * dy = 0 Remove parenthesis around (xy + -2y2) xy + -2y2 + -1(x2 + -3xy) * dy = 0 Reorder the terms: xy + -2y2 + -1(-3xy + x2) * dy = 0 Reorder the terms for easier multiplication: xy + -2y2 + -1dy(-3xy + x2) = 0 xy + -2y2 + (-3xy * -1dy + x2 * -1dy) = 0 xy + -2y2 + (3dxy2 + -1dx2y) = 0 Reorder the terms: 3dxy2 + -1dx2y + xy + -2y2 = 0 Solving 3dxy2 + -1dx2y + xy + -2y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. 3dxy2 + -1dx2y + xy + -1xy + -2y2 = 0 + -1xy Combine like terms: xy + -1xy = 0 3dxy2 + -1dx2y + 0 + -2y2 = 0 + -1xy 3dxy2 + -1dx2y + -2y2 = 0 + -1xy Remove the zero: 3dxy2 + -1dx2y + -2y2 = -1xy Add '2y2' to each side of the equation. 3dxy2 + -1dx2y + -2y2 + 2y2 = -1xy + 2y2 Combine like terms: -2y2 + 2y2 = 0 3dxy2 + -1dx2y + 0 = -1xy + 2y2 3dxy2 + -1dx2y = -1xy + 2y2 Reorder the terms: 3dxy2 + -1dx2y + xy + -2y2 = -1xy + xy + 2y2 + -2y2 Combine like terms: -1xy + xy = 0 3dxy2 + -1dx2y + xy + -2y2 = 0 + 2y2 + -2y2 3dxy2 + -1dx2y + xy + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 3dxy2 + -1dx2y + xy + -2y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(3dxy + -1dx2 + x + -2y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(3dxy + -1dx2 + x + -2y)' equal to zero and attempt to solve: Simplifying 3dxy + -1dx2 + x + -2y = 0 Solving 3dxy + -1dx2 + x + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. 3dxy + -1dx2 + x + -1x + -2y = 0 + -1x Combine like terms: x + -1x = 0 3dxy + -1dx2 + 0 + -2y = 0 + -1x 3dxy + -1dx2 + -2y = 0 + -1x Remove the zero: 3dxy + -1dx2 + -2y = -1x Add '2y' to each side of the equation. 3dxy + -1dx2 + -2y + 2y = -1x + 2y Combine like terms: -2y + 2y = 0 3dxy + -1dx2 + 0 = -1x + 2y 3dxy + -1dx2 = -1x + 2y 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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