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Simplifying 3(x2) * ydx + (x3 + y3) * dy = 0 Multiply x2 * dxy 3dx3y + (x3 + y3) * dy = 0 Reorder the terms for easier multiplication: 3dx3y + dy(x3 + y3) = 0 3dx3y + (x3 * dy + y3 * dy) = 0 3dx3y + (dx3y + dy4) = 0 Combine like terms: 3dx3y + dx3y = 4dx3y 4dx3y + dy4 = 0 Solving 4dx3y + dy4 = 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(4x3 + y3) = 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 '(4x3 + y3)' equal to zero and attempt to solve: Simplifying 4x3 + y3 = 0 Solving 4x3 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x3' to each side of the equation. 4x3 + -4x3 + y3 = 0 + -4x3 Combine like terms: 4x3 + -4x3 = 0 0 + y3 = 0 + -4x3 y3 = 0 + -4x3 Remove the zero: y3 = -4x3 Add '-1y3' to each side of the equation. y3 + -1y3 = -4x3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -4x3 + -1y3 Simplifying 0 = -4x3 + -1y3 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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