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Simplifying (2x + -1) * dx + (7y + 8) * dy = 0 Reorder the terms: (-1 + 2x) * dx + (7y + 8) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + 2x) + (7y + 8) * dy = 0 (-1 * dx + 2x * dx) + (7y + 8) * dy = 0 (-1dx + 2dx2) + (7y + 8) * dy = 0 Reorder the terms: -1dx + 2dx2 + (8 + 7y) * dy = 0 Reorder the terms for easier multiplication: -1dx + 2dx2 + dy(8 + 7y) = 0 -1dx + 2dx2 + (8 * dy + 7y * dy) = 0 -1dx + 2dx2 + (8dy + 7dy2) = 0 Solving -1dx + 2dx2 + 8dy + 7dy2 = 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(-1x + 2x2 + 8y + 7y2) = 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 '(-1x + 2x2 + 8y + 7y2)' equal to zero and attempt to solve: Simplifying -1x + 2x2 + 8y + 7y2 = 0 Solving -1x + 2x2 + 8y + 7y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 2x2 + 8y + x + 7y2 = 0 + x Reorder the terms: -1x + x + 2x2 + 8y + 7y2 = 0 + x Combine like terms: -1x + x = 0 0 + 2x2 + 8y + 7y2 = 0 + x 2x2 + 8y + 7y2 = 0 + x Remove the zero: 2x2 + 8y + 7y2 = x Add '-2x2' to each side of the equation. 2x2 + 8y + -2x2 + 7y2 = x + -2x2 Reorder the terms: 2x2 + -2x2 + 8y + 7y2 = x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + 8y + 7y2 = x + -2x2 8y + 7y2 = x + -2x2 Add '-8y' to each side of the equation. 8y + -8y + 7y2 = x + -2x2 + -8y Combine like terms: 8y + -8y = 0 0 + 7y2 = x + -2x2 + -8y 7y2 = x + -2x2 + -8y Add '-7y2' to each side of the equation. 7y2 + -7y2 = x + -2x2 + -8y + -7y2 Combine like terms: 7y2 + -7y2 = 0 0 = x + -2x2 + -8y + -7y2 Simplifying 0 = x + -2x2 + -8y + -7y2 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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