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Simplifying (x + -4y + -9) * dx + (4x + y + -2) * dy = 0 Reorder the terms: (-9 + x + -4y) * dx + (4x + y + -2) * dy = 0 Reorder the terms for easier multiplication: dx(-9 + x + -4y) + (4x + y + -2) * dy = 0 (-9 * dx + x * dx + -4y * dx) + (4x + y + -2) * dy = 0 Reorder the terms: (-9dx + -4dxy + dx2) + (4x + y + -2) * dy = 0 (-9dx + -4dxy + dx2) + (4x + y + -2) * dy = 0 Reorder the terms: -9dx + -4dxy + dx2 + (-2 + 4x + y) * dy = 0 Reorder the terms for easier multiplication: -9dx + -4dxy + dx2 + dy(-2 + 4x + y) = 0 -9dx + -4dxy + dx2 + (-2 * dy + 4x * dy + y * dy) = 0 Reorder the terms: -9dx + -4dxy + dx2 + (4dxy + -2dy + dy2) = 0 -9dx + -4dxy + dx2 + (4dxy + -2dy + dy2) = 0 Reorder the terms: -9dx + -4dxy + 4dxy + dx2 + -2dy + dy2 = 0 Combine like terms: -4dxy + 4dxy = 0 -9dx + 0 + dx2 + -2dy + dy2 = 0 -9dx + dx2 + -2dy + dy2 = 0 Solving -9dx + dx2 + -2dy + dy2 = 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(-9x + x2 + -2y + y2) = 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 '(-9x + x2 + -2y + y2)' equal to zero and attempt to solve: Simplifying -9x + x2 + -2y + y2 = 0 Solving -9x + x2 + -2y + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '9x' to each side of the equation. -9x + x2 + -2y + 9x + y2 = 0 + 9x Reorder the terms: -9x + 9x + x2 + -2y + y2 = 0 + 9x Combine like terms: -9x + 9x = 0 0 + x2 + -2y + y2 = 0 + 9x x2 + -2y + y2 = 0 + 9x Remove the zero: x2 + -2y + y2 = 9x Add '-1x2' to each side of the equation. x2 + -2y + -1x2 + y2 = 9x + -1x2 Reorder the terms: x2 + -1x2 + -2y + y2 = 9x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -2y + y2 = 9x + -1x2 -2y + y2 = 9x + -1x2 Add '2y' to each side of the equation. -2y + 2y + y2 = 9x + -1x2 + 2y Combine like terms: -2y + 2y = 0 0 + y2 = 9x + -1x2 + 2y y2 = 9x + -1x2 + 2y Add '-1y2' to each side of the equation. y2 + -1y2 = 9x + -1x2 + 2y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 9x + -1x2 + 2y + -1y2 Simplifying 0 = 9x + -1x2 + 2y + -1y2 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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