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Simplifying xy * dx + (4x + x2) * dx = 0 Multiply xy * dx dx2y + (4x + x2) * dx = 0 Reorder the terms for easier multiplication: dx2y + dx(4x + x2) = 0 dx2y + (4x * dx + x2 * dx) = 0 dx2y + (4dx2 + dx3) = 0 Reorder the terms: 4dx2 + dx2y + dx3 = 0 Solving 4dx2 + dx2y + dx3 = 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), 'dx2'. dx2(4 + y + x) = 0Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve: Simplifying dx2 = 0 Solving dx2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2 = 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 '(4 + y + x)' equal to zero and attempt to solve: Simplifying 4 + y + x = 0 Reorder the terms: 4 + x + y = 0 Solving 4 + x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + -4 + y = 0 + -4 Reorder the terms: 4 + -4 + x + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + y = 0 + -4 x + y = 0 + -4 Combine like terms: 0 + -4 = -4 x + y = -4 Add '-1x' to each side of the equation. x + -1x + y = -4 + -1x Combine like terms: x + -1x = 0 0 + y = -4 + -1x y = -4 + -1x Add '-1y' to each side of the equation. y + -1y = -4 + -1x + -1y Combine like terms: y + -1y = 0 0 = -4 + -1x + -1y Simplifying 0 = -4 + -1x + -1y 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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