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Simplifying (2x5 + 3xy) * dy = (-1(5x4 + y2)) * dx Reorder the terms: (3xy + 2x5) * dy = (-1(5x4 + y2)) * dx Reorder the terms for easier multiplication: dy(3xy + 2x5) = (-1(5x4 + y2)) * dx (3xy * dy + 2x5 * dy) = (-1(5x4 + y2)) * dx (3dxy2 + 2dx5y) = (-1(5x4 + y2)) * dx 3dxy2 + 2dx5y = ((5x4 * -1 + y2 * -1)) * dx 3dxy2 + 2dx5y = ((-5x4 + -1y2)) * dx Reorder the terms for easier multiplication: 3dxy2 + 2dx5y = dx(-5x4 + -1y2) 3dxy2 + 2dx5y = (-5x4 * dx + -1y2 * dx) Reorder the terms: 3dxy2 + 2dx5y = (-1dxy2 + -5dx5) 3dxy2 + 2dx5y = (-1dxy2 + -5dx5) Solving 3dxy2 + 2dx5y = -1dxy2 + -5dx5 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 + -5dx5 Combine like terms: 3dxy2 + dxy2 = 4dxy2 4dxy2 + 2dx5y = -1dxy2 + dxy2 + -5dx5 Combine like terms: -1dxy2 + dxy2 = 0 4dxy2 + 2dx5y = 0 + -5dx5 4dxy2 + 2dx5y = -5dx5 Add '5dx5' to each side of the equation. 4dxy2 + 5dx5 + 2dx5y = -5dx5 + 5dx5 Combine like terms: -5dx5 + 5dx5 = 0 4dxy2 + 5dx5 + 2dx5y = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(4y2 + 5x4 + 2x4y) = 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 '(4y2 + 5x4 + 2x4y)' equal to zero and attempt to solve: Simplifying 4y2 + 5x4 + 2x4y = 0 Reorder the terms: 5x4 + 2x4y + 4y2 = 0 Solving 5x4 + 2x4y + 4y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x4' to each side of the equation. 5x4 + 2x4y + -5x4 + 4y2 = 0 + -5x4 Reorder the terms: 5x4 + -5x4 + 2x4y + 4y2 = 0 + -5x4 Combine like terms: 5x4 + -5x4 = 0 0 + 2x4y + 4y2 = 0 + -5x4 2x4y + 4y2 = 0 + -5x4 Remove the zero: 2x4y + 4y2 = -5x4 Add '-2x4y' to each side of the equation. 2x4y + -2x4y + 4y2 = -5x4 + -2x4y Combine like terms: 2x4y + -2x4y = 0 0 + 4y2 = -5x4 + -2x4y 4y2 = -5x4 + -2x4y Add '-4y2' to each side of the equation. 4y2 + -4y2 = -5x4 + -2x4y + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = -5x4 + -2x4y + -4y2 Simplifying 0 = -5x4 + -2x4y + -4y2 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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