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Simplifying (2y + -1x + -6) * dy + (y + 5x + -8) * dx = 0 Reorder the terms: (-6 + -1x + 2y) * dy + (y + 5x + -8) * dx = 0 Reorder the terms for easier multiplication: dy(-6 + -1x + 2y) + (y + 5x + -8) * dx = 0 (-6 * dy + -1x * dy + 2y * dy) + (y + 5x + -8) * dx = 0 Reorder the terms: (-1dxy + -6dy + 2dy2) + (y + 5x + -8) * dx = 0 (-1dxy + -6dy + 2dy2) + (y + 5x + -8) * dx = 0 Reorder the terms: -1dxy + -6dy + 2dy2 + (-8 + 5x + y) * dx = 0 Reorder the terms for easier multiplication: -1dxy + -6dy + 2dy2 + dx(-8 + 5x + y) = 0 -1dxy + -6dy + 2dy2 + (-8 * dx + 5x * dx + y * dx) = 0 Reorder the terms: -1dxy + -6dy + 2dy2 + (-8dx + dxy + 5dx2) = 0 -1dxy + -6dy + 2dy2 + (-8dx + dxy + 5dx2) = 0 Reorder the terms: -8dx + -1dxy + dxy + 5dx2 + -6dy + 2dy2 = 0 Combine like terms: -1dxy + dxy = 0 -8dx + 0 + 5dx2 + -6dy + 2dy2 = 0 -8dx + 5dx2 + -6dy + 2dy2 = 0 Solving -8dx + 5dx2 + -6dy + 2dy2 = 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(-8x + 5x2 + -6y + 2y2) = 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 '(-8x + 5x2 + -6y + 2y2)' equal to zero and attempt to solve: Simplifying -8x + 5x2 + -6y + 2y2 = 0 Solving -8x + 5x2 + -6y + 2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '8x' to each side of the equation. -8x + 5x2 + -6y + 8x + 2y2 = 0 + 8x Reorder the terms: -8x + 8x + 5x2 + -6y + 2y2 = 0 + 8x Combine like terms: -8x + 8x = 0 0 + 5x2 + -6y + 2y2 = 0 + 8x 5x2 + -6y + 2y2 = 0 + 8x Remove the zero: 5x2 + -6y + 2y2 = 8x Add '-5x2' to each side of the equation. 5x2 + -6y + -5x2 + 2y2 = 8x + -5x2 Reorder the terms: 5x2 + -5x2 + -6y + 2y2 = 8x + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 + -6y + 2y2 = 8x + -5x2 -6y + 2y2 = 8x + -5x2 Add '6y' to each side of the equation. -6y + 6y + 2y2 = 8x + -5x2 + 6y Combine like terms: -6y + 6y = 0 0 + 2y2 = 8x + -5x2 + 6y 2y2 = 8x + -5x2 + 6y Add '-2y2' to each side of the equation. 2y2 + -2y2 = 8x + -5x2 + 6y + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = 8x + -5x2 + 6y + -2y2 Simplifying 0 = 8x + -5x2 + 6y + -2y2 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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