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Simplifying (xy) * dx + (y4 + -3x2) * dy = 0 Multiply xy * dx dx2y + (y4 + -3x2) * dy = 0 Reorder the terms: dx2y + (-3x2 + y4) * dy = 0 Reorder the terms for easier multiplication: dx2y + dy(-3x2 + y4) = 0 dx2y + (-3x2 * dy + y4 * dy) = 0 dx2y + (-3dx2y + dy5) = 0 Combine like terms: dx2y + -3dx2y = -2dx2y -2dx2y + dy5 = 0 Solving -2dx2y + dy5 = 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), 'dy'. dy(-2x2 + y4) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-2x2 + y4)' equal to zero and attempt to solve: Simplifying -2x2 + y4 = 0 Solving -2x2 + y4 = 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 + y4 = 0 + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + y4 = 0 + 2x2 y4 = 0 + 2x2 Remove the zero: y4 = 2x2 Add '-1y4' to each side of the equation. y4 + -1y4 = 2x2 + -1y4 Combine like terms: y4 + -1y4 = 0 0 = 2x2 + -1y4 Simplifying 0 = 2x2 + -1y4 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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