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Simplifying x(3ydx + 4xdy) + y * 2(2ydx + 6xdy) = 0 Combine like terms: 3dxy + 4dxy = 7dxy x(7dxy) + y * 2(2ydx + 6xdy) = 0 Remove parenthesis around (7dxy) x * 7dxy + y * 2(2ydx + 6xdy) = 0 Reorder the terms for easier multiplication: 7x * dxy + y * 2(2ydx + 6xdy) = 0 Multiply x * dxy 7dx2y + y * 2(2ydx + 6xdy) = 0 Combine like terms: 2dxy + 6dxy = 8dxy 7dx2y + y * 2(8dxy) = 0 Remove parenthesis around (8dxy) 7dx2y + y * 2 * 8dxy = 0 Reorder the terms for easier multiplication: 7dx2y + 2 * 8y * dxy = 0 Multiply 2 * 8 7dx2y + 16y * dxy = 0 Multiply y * dxy 7dx2y + 16dxy2 = 0 Reorder the terms: 16dxy2 + 7dx2y = 0 Solving 16dxy2 + 7dx2y = 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), 'dxy'. dxy(16y + 7x) = 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 '(16y + 7x)' equal to zero and attempt to solve: Simplifying 16y + 7x = 0 Reorder the terms: 7x + 16y = 0 Solving 7x + 16y = 0 Move all terms containing d to the left, all other terms to the right. Add '-7x' to each side of the equation. 7x + -7x + 16y = 0 + -7x Combine like terms: 7x + -7x = 0 0 + 16y = 0 + -7x 16y = 0 + -7x Remove the zero: 16y = -7x Add '-16y' to each side of the equation. 16y + -16y = -7x + -16y Combine like terms: 16y + -16y = 0 0 = -7x + -16y Simplifying 0 = -7x + -16y 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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