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Simplifying (xy) * dx + (x3 + -3y) * dy = 0 Multiply xy * dx dx2y + (x3 + -3y) * dy = 0 Reorder the terms for easier multiplication: dx2y + dy(x3 + -3y) = 0 dx2y + (x3 * dy + -3y * dy) = 0 dx2y + (dx3y + -3dy2) = 0 Solving dx2y + dx3y + -3dy2 = 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(x2 + x3 + -3y) = 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 '(x2 + x3 + -3y)' equal to zero and attempt to solve: Simplifying x2 + x3 + -3y = 0 Solving x2 + x3 + -3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + x3 + -1x2 + -3y = 0 + -1x2 Reorder the terms: x2 + -1x2 + x3 + -3y = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + x3 + -3y = 0 + -1x2 x3 + -3y = 0 + -1x2 Remove the zero: x3 + -3y = -1x2 Add '-1x3' to each side of the equation. x3 + -1x3 + -3y = -1x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + -3y = -1x2 + -1x3 -3y = -1x2 + -1x3 Add '3y' to each side of the equation. -3y + 3y = -1x2 + -1x3 + 3y Combine like terms: -3y + 3y = 0 0 = -1x2 + -1x3 + 3y Simplifying 0 = -1x2 + -1x3 + 3y 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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