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Simplifying 6y2dx + -1x(2x3 + y) * dy = 0 Reorder the terms for easier multiplication: 6dxy2 + -1x * dy(2x3 + y) = 0 Multiply x * dy 6dxy2 + -1dxy(2x3 + y) = 0 6dxy2 + (2x3 * -1dxy + y * -1dxy) = 0 Reorder the terms: 6dxy2 + (-1dxy2 + -2dx4y) = 0 6dxy2 + (-1dxy2 + -2dx4y) = 0 Combine like terms: 6dxy2 + -1dxy2 = 5dxy2 5dxy2 + -2dx4y = 0 Solving 5dxy2 + -2dx4y = 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(5y + -2x3) = 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 '(5y + -2x3)' equal to zero and attempt to solve: Simplifying 5y + -2x3 = 0 Reorder the terms: -2x3 + 5y = 0 Solving -2x3 + 5y = 0 Move all terms containing d to the left, all other terms to the right. Add '2x3' to each side of the equation. -2x3 + 2x3 + 5y = 0 + 2x3 Combine like terms: -2x3 + 2x3 = 0 0 + 5y = 0 + 2x3 5y = 0 + 2x3 Remove the zero: 5y = 2x3 Add '-5y' to each side of the equation. 5y + -5y = 2x3 + -5y Combine like terms: 5y + -5y = 0 0 = 2x3 + -5y Simplifying 0 = 2x3 + -5y 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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