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Simplifying 3x2 * ydx + (y4 + -1x3) * dy = 0 Multiply x2 * dxy 3dx3y + (y4 + -1x3) * dy = 0 Reorder the terms: 3dx3y + (-1x3 + y4) * dy = 0 Reorder the terms for easier multiplication: 3dx3y + dy(-1x3 + y4) = 0 3dx3y + (-1x3 * dy + y4 * dy) = 0 3dx3y + (-1dx3y + dy5) = 0 Combine like terms: 3dx3y + -1dx3y = 2dx3y 2dx3y + dy5 = 0 Solving 2dx3y + 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(2x3 + 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 '(2x3 + y4)' equal to zero and attempt to solve: Simplifying 2x3 + y4 = 0 Solving 2x3 + y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x3' to each side of the equation. 2x3 + -2x3 + y4 = 0 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + y4 = 0 + -2x3 y4 = 0 + -2x3 Remove the zero: y4 = -2x3 Add '-1y4' to each side of the equation. y4 + -1y4 = -2x3 + -1y4 Combine like terms: y4 + -1y4 = 0 0 = -2x3 + -1y4 Simplifying 0 = -2x3 + -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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