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Simplifying (3x2 + -2xy + 3y2) * dx = (4xy) * dy Reorder the terms: (-2xy + 3x2 + 3y2) * dx = (4xy) * dy Reorder the terms for easier multiplication: dx(-2xy + 3x2 + 3y2) = (4xy) * dy (-2xy * dx + 3x2 * dx + 3y2 * dx) = (4xy) * dy Reorder the terms: (3dxy2 + -2dx2y + 3dx3) = (4xy) * dy (3dxy2 + -2dx2y + 3dx3) = (4xy) * dy Remove parenthesis around (4xy) 3dxy2 + -2dx2y + 3dx3 = 4xy * dy Multiply xy * dy 3dxy2 + -2dx2y + 3dx3 = 4dxy2 Solving 3dxy2 + -2dx2y + 3dx3 = 4dxy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dxy2' to each side of the equation. 3dxy2 + -2dx2y + -4dxy2 + 3dx3 = 4dxy2 + -4dxy2 Reorder the terms: 3dxy2 + -4dxy2 + -2dx2y + 3dx3 = 4dxy2 + -4dxy2 Combine like terms: 3dxy2 + -4dxy2 = -1dxy2 -1dxy2 + -2dx2y + 3dx3 = 4dxy2 + -4dxy2 Combine like terms: 4dxy2 + -4dxy2 = 0 -1dxy2 + -2dx2y + 3dx3 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1y2 + -2xy + 3x2) = 0 Factor a trinomial. dx((-1y + -3x)(y + -1x)) = 0Subproblem 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 '(-1y + -3x)' equal to zero and attempt to solve: Simplifying -1y + -3x = 0 Reorder the terms: -3x + -1y = 0 Solving -3x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 3x + -1y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + -1y = 0 + 3x -1y = 0 + 3x Remove the zero: -1y = 3x Add 'y' to each side of the equation. -1y + y = 3x + y Combine like terms: -1y + y = 0 0 = 3x + y Simplifying 0 = 3x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + 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 + x + y = 0 + x Combine like terms: -1x + x = 0 0 + y = 0 + x y = 0 + x Remove the zero: y = x Add '-1y' to each side of the equation. y + -1y = x + -1y Combine like terms: y + -1y = 0 0 = x + -1y Simplifying 0 = x + -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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