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Simplifying ysqrt(1 + -1x2) * dx + xsqrt(1 + -1y2) * dy = 0 Reorder the terms for easier multiplication: qrsty * dx(1 + -1x2) + xsqrt(1 + -1y2) * dy = 0 Multiply qrsty * dx dqrstxy(1 + -1x2) + xsqrt(1 + -1y2) * dy = 0 (1 * dqrstxy + -1x2 * dqrstxy) + xsqrt(1 + -1y2) * dy = 0 (1dqrstxy + -1dqrstx3y) + xsqrt(1 + -1y2) * dy = 0 Reorder the terms for easier multiplication: 1dqrstxy + -1dqrstx3y + qrstx * dy(1 + -1y2) = 0 Multiply qrstx * dy 1dqrstxy + -1dqrstx3y + dqrstxy(1 + -1y2) = 0 1dqrstxy + -1dqrstx3y + (1 * dqrstxy + -1y2 * dqrstxy) = 0 1dqrstxy + -1dqrstx3y + (1dqrstxy + -1dqrstxy3) = 0 Reorder the terms: 1dqrstxy + 1dqrstxy + -1dqrstxy3 + -1dqrstx3y = 0 Combine like terms: 1dqrstxy + 1dqrstxy = 2dqrstxy 2dqrstxy + -1dqrstxy3 + -1dqrstx3y = 0 Solving 2dqrstxy + -1dqrstxy3 + -1dqrstx3y = 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), 'dqrstxy'. dqrstxy(2 + -1y2 + -1x2) = 0 Factor a trinomial. dqrstxy((-1y + x)(y + -1x)) = 0Subproblem 1
Set the factor 'dqrstxy' equal to zero and attempt to solve: Simplifying dqrstxy = 0 Solving dqrstxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dqrstxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1y + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y = 0 + -1x -1y = 0 + -1x Remove the zero: -1y = -1x Add 'y' to each side of the equation. -1y + y = -1x + y Combine like terms: -1y + y = 0 0 = -1x + y Simplifying 0 = -1x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + y = 0 + x Combine like terms: -1x + x = 0 0 + y = 0 + x y = 0 + x Remove the zero: y = x Add '-1y' to each side of the equation. y + -1y = x + -1y Combine like terms: y + -1y = 0 0 = x + -1y Simplifying 0 = x + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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