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Simplifying 6(y2) * dx = x(2(x3) + y) * dy Multiply y2 * dx 6dxy2 = x(2(x3) + y) * dy Reorder the terms for easier multiplication: 6dxy2 = x * dy(2x3 + y) Multiply x * dy 6dxy2 = dxy(2x3 + y) 6dxy2 = (2x3 * dxy + y * dxy) Reorder the terms: 6dxy2 = (dxy2 + 2dx4y) 6dxy2 = (dxy2 + 2dx4y) Solving 6dxy2 = dxy2 + 2dx4y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. 6dxy2 + -1dxy2 = dxy2 + -1dxy2 + 2dx4y Combine like terms: 6dxy2 + -1dxy2 = 5dxy2 5dxy2 = dxy2 + -1dxy2 + 2dx4y Combine like terms: dxy2 + -1dxy2 = 0 5dxy2 = 0 + 2dx4y 5dxy2 = 2dx4y Add '-2dx4y' to each side of the equation. 5dxy2 + -2dx4y = 2dx4y + -2dx4y Combine like terms: 2dx4y + -2dx4y = 0 5dxy2 + -2dx4y = 0 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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