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Simplifying xdy + 2ydx = 6x2(dx) Combine like terms: dxy + 2dxy = 3dxy 3dxy = 6x2(dx) Multiply x2 * dx 3dxy = 6dx3 Solving 3dxy = 6dx3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6dx3' to each side of the equation. 3dxy + -6dx3 = 6dx3 + -6dx3 Combine like terms: 6dx3 + -6dx3 = 0 3dxy + -6dx3 = 0 Factor out the Greatest Common Factor (GCF), '3dx'. 3dx(y + -2x2) = 0 Ignore the factor 3.Subproblem 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 '(y + -2x2)' equal to zero and attempt to solve: Simplifying y + -2x2 = 0 Reorder the terms: -2x2 + y = 0 Solving -2x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '2x2' to each side of the equation. -2x2 + 2x2 + y = 0 + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + y = 0 + 2x2 y = 0 + 2x2 Remove the zero: y = 2x2 Add '-1y' to each side of the equation. y + -1y = 2x2 + -1y Combine like terms: y + -1y = 0 0 = 2x2 + -1y Simplifying 0 = 2x2 + -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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