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Simplifying 9dy = sqrt(4 + -1y * y) * dx + -1x * xdy Multiply y * y 9dy = qrst(4 + -1y2) * dx + -1x * xdy Reorder the terms for easier multiplication: 9dy = qrst * dx(4 + -1y2) + -1x * xdy Multiply qrst * dx 9dy = dqrstx(4 + -1y2) + -1x * xdy 9dy = (4 * dqrstx + -1y2 * dqrstx) + -1x * xdy 9dy = (4dqrstx + -1dqrstxy2) + -1x * xdy Multiply x * dxy 9dy = 4dqrstx + -1dqrstxy2 + -1dx2y Solving 9dy = 4dqrstx + -1dqrstxy2 + -1dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dqrstx' to each side of the equation. -4dqrstx + 9dy = 4dqrstx + -1dqrstxy2 + -4dqrstx + -1dx2y Reorder the terms: -4dqrstx + 9dy = 4dqrstx + -4dqrstx + -1dqrstxy2 + -1dx2y Combine like terms: 4dqrstx + -4dqrstx = 0 -4dqrstx + 9dy = 0 + -1dqrstxy2 + -1dx2y -4dqrstx + 9dy = -1dqrstxy2 + -1dx2y Add 'dqrstxy2' to each side of the equation. -4dqrstx + dqrstxy2 + 9dy = -1dqrstxy2 + dqrstxy2 + -1dx2y Combine like terms: -1dqrstxy2 + dqrstxy2 = 0 -4dqrstx + dqrstxy2 + 9dy = 0 + -1dx2y -4dqrstx + dqrstxy2 + 9dy = -1dx2y Add 'dx2y' to each side of the equation. -4dqrstx + dqrstxy2 + dx2y + 9dy = -1dx2y + dx2y Combine like terms: -1dx2y + dx2y = 0 -4dqrstx + dqrstxy2 + dx2y + 9dy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-4qrstx + qrstxy2 + x2y + 9y) = 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 '(-4qrstx + qrstxy2 + x2y + 9y)' equal to zero and attempt to solve: Simplifying -4qrstx + qrstxy2 + x2y + 9y = 0 Solving -4qrstx + qrstxy2 + x2y + 9y = 0 Move all terms containing d to the left, all other terms to the right. Add '4qrstx' to each side of the equation. -4qrstx + qrstxy2 + x2y + 4qrstx + 9y = 0 + 4qrstx Reorder the terms: -4qrstx + 4qrstx + qrstxy2 + x2y + 9y = 0 + 4qrstx Combine like terms: -4qrstx + 4qrstx = 0 0 + qrstxy2 + x2y + 9y = 0 + 4qrstx qrstxy2 + x2y + 9y = 0 + 4qrstx Remove the zero: qrstxy2 + x2y + 9y = 4qrstx Add '-1qrstxy2' to each side of the equation. qrstxy2 + x2y + -1qrstxy2 + 9y = 4qrstx + -1qrstxy2 Reorder the terms: qrstxy2 + -1qrstxy2 + x2y + 9y = 4qrstx + -1qrstxy2 Combine like terms: qrstxy2 + -1qrstxy2 = 0 0 + x2y + 9y = 4qrstx + -1qrstxy2 x2y + 9y = 4qrstx + -1qrstxy2 Add '-1x2y' to each side of the equation. x2y + -1x2y + 9y = 4qrstx + -1qrstxy2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + 9y = 4qrstx + -1qrstxy2 + -1x2y 9y = 4qrstx + -1qrstxy2 + -1x2y Add '-9y' to each side of the equation. 9y + -9y = 4qrstx + -1qrstxy2 + -1x2y + -9y Combine like terms: 9y + -9y = 0 0 = 4qrstx + -1qrstxy2 + -1x2y + -9y Simplifying 0 = 4qrstx + -1qrstxy2 + -1x2y + -9y 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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