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Simplifying (x + -1y) * dx + (3xy) * dy = 0 Reorder the terms for easier multiplication: dx(x + -1y) + (3xy) * dy = 0 (x * dx + -1y * dx) + (3xy) * dy = 0 Reorder the terms: (-1dxy + dx2) + (3xy) * dy = 0 (-1dxy + dx2) + (3xy) * dy = 0 Remove parenthesis around (3xy) -1dxy + dx2 + 3xy * dy = 0 Multiply xy * dy -1dxy + dx2 + 3dxy2 = 0 Reorder the terms: -1dxy + 3dxy2 + dx2 = 0 Solving -1dxy + 3dxy2 + dx2 = 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 + 3y2 + x) = 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 + 3y2 + x)' equal to zero and attempt to solve: Simplifying -1y + 3y2 + x = 0 Reorder the terms: x + -1y + 3y2 = 0 Solving x + -1y + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1y + -1x + 3y2 = 0 + -1x Reorder the terms: x + -1x + -1y + 3y2 = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y + 3y2 = 0 + -1x -1y + 3y2 = 0 + -1x Remove the zero: -1y + 3y2 = -1x Add 'y' to each side of the equation. -1y + y + 3y2 = -1x + y Combine like terms: -1y + y = 0 0 + 3y2 = -1x + y 3y2 = -1x + y Add '-3y2' to each side of the equation. 3y2 + -3y2 = -1x + y + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = -1x + y + -3y2 Simplifying 0 = -1x + y + -3y2 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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