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Simplifying (5x4 * y4 + -1y2) * dx + (4y5 * y3 + -2xy + 3) * dy = 0 Multiply x4 * y4 (5x4y4 + -1y2) * dx + (4y5 * y3 + -2xy + 3) * dy = 0 Reorder the terms for easier multiplication: dx(5x4y4 + -1y2) + (4y5 * y3 + -2xy + 3) * dy = 0 (5x4y4 * dx + -1y2 * dx) + (4y5 * y3 + -2xy + 3) * dy = 0 Reorder the terms: (-1dxy2 + 5dx5y4) + (4y5 * y3 + -2xy + 3) * dy = 0 (-1dxy2 + 5dx5y4) + (4y5 * y3 + -2xy + 3) * dy = 0 Multiply y5 * y3 -1dxy2 + 5dx5y4 + (4y8 + -2xy + 3) * dy = 0 Reorder the terms: -1dxy2 + 5dx5y4 + (3 + -2xy + 4y8) * dy = 0 Reorder the terms for easier multiplication: -1dxy2 + 5dx5y4 + dy(3 + -2xy + 4y8) = 0 -1dxy2 + 5dx5y4 + (3 * dy + -2xy * dy + 4y8 * dy) = 0 Reorder the terms: -1dxy2 + 5dx5y4 + (-2dxy2 + 3dy + 4dy9) = 0 -1dxy2 + 5dx5y4 + (-2dxy2 + 3dy + 4dy9) = 0 Reorder the terms: -1dxy2 + -2dxy2 + 5dx5y4 + 3dy + 4dy9 = 0 Combine like terms: -1dxy2 + -2dxy2 = -3dxy2 -3dxy2 + 5dx5y4 + 3dy + 4dy9 = 0 Solving -3dxy2 + 5dx5y4 + 3dy + 4dy9 = 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(-3xy + 5x5y3 + 3 + 4y8) = 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 '(-3xy + 5x5y3 + 3 + 4y8)' equal to zero and attempt to solve: Simplifying -3xy + 5x5y3 + 3 + 4y8 = 0 Reorder the terms: 3 + -3xy + 5x5y3 + 4y8 = 0 Solving 3 + -3xy + 5x5y3 + 4y8 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3xy + 5x5y3 + -3 + 4y8 = 0 + -3 Reorder the terms: 3 + -3 + -3xy + 5x5y3 + 4y8 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3xy + 5x5y3 + 4y8 = 0 + -3 -3xy + 5x5y3 + 4y8 = 0 + -3 Combine like terms: 0 + -3 = -3 -3xy + 5x5y3 + 4y8 = -3 Add '3xy' to each side of the equation. -3xy + 5x5y3 + 3xy + 4y8 = -3 + 3xy Reorder the terms: -3xy + 3xy + 5x5y3 + 4y8 = -3 + 3xy Combine like terms: -3xy + 3xy = 0 0 + 5x5y3 + 4y8 = -3 + 3xy 5x5y3 + 4y8 = -3 + 3xy Add '-5x5y3' to each side of the equation. 5x5y3 + -5x5y3 + 4y8 = -3 + 3xy + -5x5y3 Combine like terms: 5x5y3 + -5x5y3 = 0 0 + 4y8 = -3 + 3xy + -5x5y3 4y8 = -3 + 3xy + -5x5y3 Add '-4y8' to each side of the equation. 4y8 + -4y8 = -3 + 3xy + -5x5y3 + -4y8 Combine like terms: 4y8 + -4y8 = 0 0 = -3 + 3xy + -5x5y3 + -4y8 Simplifying 0 = -3 + 3xy + -5x5y3 + -4y8 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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