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Simplifying ((4x + -1y) * dx) + ((3x2) * dy) = 0 Reorder the terms for easier multiplication: (dx(4x + -1y)) + ((3x2) * dy) = 0 ((4x * dx + -1y * dx)) + ((3x2) * dy) = 0 Reorder the terms: ((-1dxy + 4dx2)) + ((3x2) * dy) = 0 ((-1dxy + 4dx2)) + ((3x2) * dy) = 0 (-1dxy + 4dx2) + ((3x2) * dy) = 0 Remove parenthesis around (-1dxy + 4dx2) -1dxy + 4dx2 + ((3x2) * dy) = 0 Remove parenthesis around (3x2) -1dxy + 4dx2 + (3x2 * dy) = 0 Multiply x2 * dy -1dxy + 4dx2 + (3dx2y) = 0 Solving -1dxy + 4dx2 + (3dx2y) = 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), 'dx'. dx(-1y + 4x + (3xy)) = 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 + 4x + (3xy))' equal to zero and attempt to solve: Simplifying -1y + 4x + (3xy) = 0 Reorder the terms: 4x + (3xy) + -1y = 0 Solving 4x + (3xy) + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + (3xy) + -4x + -1y = 0 + -4x Reorder the terms: 4x + -4x + (3xy) + -1y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + (3xy) + -1y = 0 + -4x (3xy) + -1y = 0 + -4x Remove the zero: (3xy) + -1y = -4x Add '(-3xy)' to each side of the equation. (3xy) + (-3xy) + -1y = -4x + (-3xy) Combine like terms: (3xy) + (-3xy) = 0 0 + -1y = -4x + (-3xy) -1y = -4x + (-3xy) Add 'y' to each side of the equation. -1y + y = -4x + (-3xy) + y Combine like terms: -1y + y = 0 0 = -4x + (-3xy) + y Simplifying 0 = -4x + (-3xy) + y 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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