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Simplifying sqrt(y2 + 3) * dx + sqrt(1 + -1x2) * y * dy = 0 Reorder the terms: qrst(3 + y2) * dx + sqrt(1 + -1x2) * y * dy = 0 Reorder the terms for easier multiplication: qrst * dx(3 + y2) + sqrt(1 + -1x2) * y * dy = 0 Multiply qrst * dx dqrstx(3 + y2) + sqrt(1 + -1x2) * y * dy = 0 (3 * dqrstx + y2 * dqrstx) + sqrt(1 + -1x2) * y * dy = 0 (3dqrstx + dqrstxy2) + sqrt(1 + -1x2) * y * dy = 0 Reorder the terms for easier multiplication: 3dqrstx + dqrstxy2 + qrst * y * dy(1 + -1x2) = 0 Multiply qrst * y 3dqrstx + dqrstxy2 + qrsty * dy(1 + -1x2) = 0 Multiply qrsty * dy 3dqrstx + dqrstxy2 + dqrsty2(1 + -1x2) = 0 3dqrstx + dqrstxy2 + (1 * dqrsty2 + -1x2 * dqrsty2) = 0 Reorder the terms: 3dqrstx + dqrstxy2 + (-1dqrstx2y2 + 1dqrsty2) = 0 3dqrstx + dqrstxy2 + (-1dqrstx2y2 + 1dqrsty2) = 0 Solving 3dqrstx + dqrstxy2 + -1dqrstx2y2 + 1dqrsty2 = 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), 'dqrst'. dqrst(3x + xy2 + -1x2y2 + y2) = 0Subproblem 1
Set the factor 'dqrst' equal to zero and attempt to solve: Simplifying dqrst = 0 Solving dqrst = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dqrst = 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 '(3x + xy2 + -1x2y2 + y2)' equal to zero and attempt to solve: Simplifying 3x + xy2 + -1x2y2 + y2 = 0 Solving 3x + xy2 + -1x2y2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + xy2 + -1x2y2 + -3x + y2 = 0 + -3x Reorder the terms: 3x + -3x + xy2 + -1x2y2 + y2 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + xy2 + -1x2y2 + y2 = 0 + -3x xy2 + -1x2y2 + y2 = 0 + -3x Remove the zero: xy2 + -1x2y2 + y2 = -3x Add '-1xy2' to each side of the equation. xy2 + -1x2y2 + -1xy2 + y2 = -3x + -1xy2 Reorder the terms: xy2 + -1xy2 + -1x2y2 + y2 = -3x + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + -1x2y2 + y2 = -3x + -1xy2 -1x2y2 + y2 = -3x + -1xy2 Add 'x2y2' to each side of the equation. -1x2y2 + x2y2 + y2 = -3x + -1xy2 + x2y2 Combine like terms: -1x2y2 + x2y2 = 0 0 + y2 = -3x + -1xy2 + x2y2 y2 = -3x + -1xy2 + x2y2 Add '-1y2' to each side of the equation. y2 + -1y2 = -3x + -1xy2 + x2y2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -3x + -1xy2 + x2y2 + -1y2 Simplifying 0 = -3x + -1xy2 + x2y2 + -1y2 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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