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Simplifying (2xy) * dx + (x + 2) * dy = 0 Remove parenthesis around (2xy) 2xy * dx + (x + 2) * dy = 0 Multiply xy * dx 2dx2y + (x + 2) * dy = 0 Reorder the terms: 2dx2y + (2 + x) * dy = 0 Reorder the terms for easier multiplication: 2dx2y + dy(2 + x) = 0 2dx2y + (2 * dy + x * dy) = 0 Reorder the terms: 2dx2y + (dxy + 2dy) = 0 2dx2y + (dxy + 2dy) = 0 Reorder the terms: dxy + 2dx2y + 2dy = 0 Solving dxy + 2dx2y + 2dy = 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), 'dy'. dy(x + 2x2 + 2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(x + 2x2 + 2)' equal to zero and attempt to solve: Simplifying x + 2x2 + 2 = 0 Reorder the terms: 2 + x + 2x2 = 0 Solving 2 + x + 2x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + x + -2 + 2x2 = 0 + -2 Reorder the terms: 2 + -2 + x + 2x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x + 2x2 = 0 + -2 x + 2x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x + 2x2 = -2 Add '-1x' to each side of the equation. x + -1x + 2x2 = -2 + -1x Combine like terms: x + -1x = 0 0 + 2x2 = -2 + -1x 2x2 = -2 + -1x Add '-2x2' to each side of the equation. 2x2 + -2x2 = -2 + -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -2 + -1x + -2x2 Simplifying 0 = -2 + -1x + -2x2 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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