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Simplifying (3y2 + -3x * y + x2) * dx = (x2 + 2x * y) * dt Multiply x * y (3y2 + -3xy + x2) * dx = (x2 + 2x * y) * dt Reorder the terms: (-3xy + x2 + 3y2) * dx = (x2 + 2x * y) * dt Reorder the terms for easier multiplication: dx(-3xy + x2 + 3y2) = (x2 + 2x * y) * dt (-3xy * dx + x2 * dx + 3y2 * dx) = (x2 + 2x * y) * dt Reorder the terms: (3dxy2 + -3dx2y + dx3) = (x2 + 2x * y) * dt (3dxy2 + -3dx2y + dx3) = (x2 + 2x * y) * dt Multiply x * y 3dxy2 + -3dx2y + dx3 = (x2 + 2xy) * dt Reorder the terms: 3dxy2 + -3dx2y + dx3 = (2xy + x2) * dt Reorder the terms for easier multiplication: 3dxy2 + -3dx2y + dx3 = dt(2xy + x2) 3dxy2 + -3dx2y + dx3 = (2xy * dt + x2 * dt) 3dxy2 + -3dx2y + dx3 = (2dtxy + dtx2) Solving 3dxy2 + -3dx2y + dx3 = 2dtxy + dtx2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2dtxy' to each side of the equation. 3dxy2 + -3dx2y + -2dtxy + dx3 = 2dtxy + -2dtxy + dtx2 Reorder the terms: -2dtxy + 3dxy2 + -3dx2y + dx3 = 2dtxy + -2dtxy + dtx2 Combine like terms: 2dtxy + -2dtxy = 0 -2dtxy + 3dxy2 + -3dx2y + dx3 = 0 + dtx2 -2dtxy + 3dxy2 + -3dx2y + dx3 = dtx2 Add '-1dtx2' to each side of the equation. -2dtxy + 3dxy2 + -3dx2y + -1dtx2 + dx3 = dtx2 + -1dtx2 Reorder the terms: -2dtxy + -1dtx2 + 3dxy2 + -3dx2y + dx3 = dtx2 + -1dtx2 Combine like terms: dtx2 + -1dtx2 = 0 -2dtxy + -1dtx2 + 3dxy2 + -3dx2y + dx3 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-2ty + -1tx + 3y2 + -3xy + x2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(-2ty + -1tx + 3y2 + -3xy + x2)' equal to zero and attempt to solve: Simplifying -2ty + -1tx + 3y2 + -3xy + x2 = 0 Reorder the terms: -1tx + -2ty + -3xy + x2 + 3y2 = 0 Solving -1tx + -2ty + -3xy + x2 + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'tx' to each side of the equation. -1tx + -2ty + -3xy + x2 + tx + 3y2 = 0 + tx Reorder the terms: -1tx + tx + -2ty + -3xy + x2 + 3y2 = 0 + tx Combine like terms: -1tx + tx = 0 0 + -2ty + -3xy + x2 + 3y2 = 0 + tx -2ty + -3xy + x2 + 3y2 = 0 + tx Remove the zero: -2ty + -3xy + x2 + 3y2 = tx Add '2ty' to each side of the equation. -2ty + -3xy + x2 + 2ty + 3y2 = tx + 2ty Reorder the terms: -2ty + 2ty + -3xy + x2 + 3y2 = tx + 2ty Combine like terms: -2ty + 2ty = 0 0 + -3xy + x2 + 3y2 = tx + 2ty -3xy + x2 + 3y2 = tx + 2ty Add '3xy' to each side of the equation. -3xy + x2 + 3xy + 3y2 = tx + 2ty + 3xy Reorder the terms: -3xy + 3xy + x2 + 3y2 = tx + 2ty + 3xy Combine like terms: -3xy + 3xy = 0 0 + x2 + 3y2 = tx + 2ty + 3xy x2 + 3y2 = tx + 2ty + 3xy Add '-1x2' to each side of the equation. x2 + -1x2 + 3y2 = tx + 2ty + 3xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 3y2 = tx + 2ty + 3xy + -1x2 3y2 = tx + 2ty + 3xy + -1x2 Add '-3y2' to each side of the equation. 3y2 + -3y2 = tx + 2ty + 3xy + -1x2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = tx + 2ty + 3xy + -1x2 + -3y2 Simplifying 0 = tx + 2ty + 3xy + -1x2 + -3y2 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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