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Simplifying Y2DX + (3XY + -4Y2) * DY = 0 Reorder the terms for easier multiplication: DXY2 + DY(3XY + -4Y2) = 0 DXY2 + (3XY * DY + -4Y2 * DY) = 0 DXY2 + (3DXY2 + -4DY3) = 0 Combine like terms: DXY2 + 3DXY2 = 4DXY2 4DXY2 + -4DY3 = 0 Solving 4DXY2 + -4DY3 = 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), '4DY2'. 4DY2(X + -1Y) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'DY2' equal to zero and attempt to solve: Simplifying DY2 = 0 Solving DY2 = 0 Move all terms containing D to the left, all other terms to the right. Simplifying DY2 = 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 '(X + -1Y)' equal to zero and attempt to solve: Simplifying 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. The solution to this equation could not be determined.
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