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Simplifying (6x2 + -7y2) * dx + -14xdy = 0 Reorder the terms for easier multiplication: dx(6x2 + -7y2) + -14xdy = 0 (6x2 * dx + -7y2 * dx) + -14xdy = 0 Reorder the terms: (-7dxy2 + 6dx3) + -14xdy = 0 (-7dxy2 + 6dx3) + -14xdy = 0 Reorder the terms: -14dxy + -7dxy2 + 6dx3 = 0 Solving -14dxy + -7dxy2 + 6dx3 = 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), 'dx'. dx(-14y + -7y2 + 6x2) = 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 '(-14y + -7y2 + 6x2)' equal to zero and attempt to solve: Simplifying -14y + -7y2 + 6x2 = 0 Reorder the terms: 6x2 + -14y + -7y2 = 0 Solving 6x2 + -14y + -7y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-6x2' to each side of the equation. 6x2 + -14y + -6x2 + -7y2 = 0 + -6x2 Reorder the terms: 6x2 + -6x2 + -14y + -7y2 = 0 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 + -14y + -7y2 = 0 + -6x2 -14y + -7y2 = 0 + -6x2 Remove the zero: -14y + -7y2 = -6x2 Add '14y' to each side of the equation. -14y + 14y + -7y2 = -6x2 + 14y Combine like terms: -14y + 14y = 0 0 + -7y2 = -6x2 + 14y -7y2 = -6x2 + 14y Add '7y2' to each side of the equation. -7y2 + 7y2 = -6x2 + 14y + 7y2 Combine like terms: -7y2 + 7y2 = 0 0 = -6x2 + 14y + 7y2 Simplifying 0 = -6x2 + 14y + 7y2 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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