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Simplifying (X + y) * dx + dy = 0 Reorder the terms for easier multiplication: dx(X + y) + dy = 0 (X * dx + y * dx) + dy = 0 (dxX + dxy) + dy = 0 Solving dxX + dxy + dy = 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), 'd'. d(xX + xy + y) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(xX + xy + y)' equal to zero and attempt to solve: Simplifying xX + xy + y = 0 Solving xX + xy + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xX' to each side of the equation. xX + xy + -1xX + y = 0 + -1xX Reorder the terms: xX + -1xX + xy + y = 0 + -1xX Combine like terms: xX + -1xX = 0 0 + xy + y = 0 + -1xX xy + y = 0 + -1xX Remove the zero: xy + y = -1xX Add '-1xy' to each side of the equation. xy + -1xy + y = -1xX + -1xy Combine like terms: xy + -1xy = 0 0 + y = -1xX + -1xy y = -1xX + -1xy Add '-1y' to each side of the equation. y + -1y = -1xX + -1xy + -1y Combine like terms: y + -1y = 0 0 = -1xX + -1xy + -1y Simplifying 0 = -1xX + -1xy + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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