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Simplifying (2x5 + 3xy) * dy = (-1(5x4y + y2)) * dx Reorder the terms: (3xy + 2x5) * dy = (-1(5x4y + y2)) * dx Reorder the terms for easier multiplication: dy(3xy + 2x5) = (-1(5x4y + y2)) * dx (3xy * dy + 2x5 * dy) = (-1(5x4y + y2)) * dx (3dxy2 + 2dx5y) = (-1(5x4y + y2)) * dx 3dxy2 + 2dx5y = ((5x4y * -1 + y2 * -1)) * dx 3dxy2 + 2dx5y = ((-5x4y + -1y2)) * dx Reorder the terms for easier multiplication: 3dxy2 + 2dx5y = dx(-5x4y + -1y2) 3dxy2 + 2dx5y = (-5x4y * dx + -1y2 * dx) Reorder the terms: 3dxy2 + 2dx5y = (-1dxy2 + -5dx5y) 3dxy2 + 2dx5y = (-1dxy2 + -5dx5y) Solving 3dxy2 + 2dx5y = -1dxy2 + -5dx5y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'dxy2' to each side of the equation. 3dxy2 + dxy2 + 2dx5y = -1dxy2 + dxy2 + -5dx5y Combine like terms: 3dxy2 + dxy2 = 4dxy2 4dxy2 + 2dx5y = -1dxy2 + dxy2 + -5dx5y Combine like terms: -1dxy2 + dxy2 = 0 4dxy2 + 2dx5y = 0 + -5dx5y 4dxy2 + 2dx5y = -5dx5y Add '5dx5y' to each side of the equation. 4dxy2 + 2dx5y + 5dx5y = -5dx5y + 5dx5y Combine like terms: 2dx5y + 5dx5y = 7dx5y 4dxy2 + 7dx5y = -5dx5y + 5dx5y Combine like terms: -5dx5y + 5dx5y = 0 4dxy2 + 7dx5y = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(4y + 7x4) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(4y + 7x4)' equal to zero and attempt to solve: Simplifying 4y + 7x4 = 0 Reorder the terms: 7x4 + 4y = 0 Solving 7x4 + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add '-7x4' to each side of the equation. 7x4 + -7x4 + 4y = 0 + -7x4 Combine like terms: 7x4 + -7x4 = 0 0 + 4y = 0 + -7x4 4y = 0 + -7x4 Remove the zero: 4y = -7x4 Add '-4y' to each side of the equation. 4y + -4y = -7x4 + -4y Combine like terms: 4y + -4y = 0 0 = -7x4 + -4y Simplifying 0 = -7x4 + -4y 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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