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Simplifying Ydy = 2(x + y) * dy Reorder the terms for easier multiplication: dyY = 2dy(x + y) dyY = (x * 2dy + y * 2dy) dyY = (2dxy + 2dy2) Solving dyY = 2dxy + 2dy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2dxy' to each side of the equation. -2dxy + dyY = 2dxy + -2dxy + 2dy2 Combine like terms: 2dxy + -2dxy = 0 -2dxy + dyY = 0 + 2dy2 -2dxy + dyY = 2dy2 Add '-2dy2' to each side of the equation. -2dxy + dyY + -2dy2 = 2dy2 + -2dy2 Combine like terms: 2dy2 + -2dy2 = 0 -2dxy + dyY + -2dy2 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-2x + Y + -2y) = 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 '(-2x + Y + -2y)' equal to zero and attempt to solve: Simplifying -2x + Y + -2y = 0 Reorder the terms: Y + -2x + -2y = 0 Solving Y + -2x + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -2x + -1Y + -2y = 0 + -1Y Reorder the terms: Y + -1Y + -2x + -2y = 0 + -1Y Combine like terms: Y + -1Y = 0 0 + -2x + -2y = 0 + -1Y -2x + -2y = 0 + -1Y Remove the zero: -2x + -2y = -1Y Add '2x' to each side of the equation. -2x + 2x + -2y = -1Y + 2x Combine like terms: -2x + 2x = 0 0 + -2y = -1Y + 2x -2y = -1Y + 2x Add '2y' to each side of the equation. -2y + 2y = -1Y + 2x + 2y Combine like terms: -2y + 2y = 0 0 = -1Y + 2x + 2y Simplifying 0 = -1Y + 2x + 2y 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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