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Simplifying (x + -5) * y3dx + -1x3(y3 + -3) * dy = 0 Reorder the terms: (-5 + x) * y3dx + -1x3(y3 + -3) * dy = 0 Reorder the terms for easier multiplication: dxy3(-5 + x) + -1x3(y3 + -3) * dy = 0 (-5 * dxy3 + x * dxy3) + -1x3(y3 + -3) * dy = 0 (-5dxy3 + dx2y3) + -1x3(y3 + -3) * dy = 0 Reorder the terms: -5dxy3 + dx2y3 + -1x3(-3 + y3) * dy = 0 Reorder the terms for easier multiplication: -5dxy3 + dx2y3 + -1x3 * dy(-3 + y3) = 0 Multiply x3 * dy -5dxy3 + dx2y3 + -1dx3y(-3 + y3) = 0 -5dxy3 + dx2y3 + (-3 * -1dx3y + y3 * -1dx3y) = 0 -5dxy3 + dx2y3 + (3dx3y + -1dx3y4) = 0 Solving -5dxy3 + dx2y3 + 3dx3y + -1dx3y4 = 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), 'dxy'. dxy(-5y2 + xy2 + 3x2 + -1x2y3) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(-5y2 + xy2 + 3x2 + -1x2y3)' equal to zero and attempt to solve: Simplifying -5y2 + xy2 + 3x2 + -1x2y3 = 0 Reorder the terms: xy2 + 3x2 + -1x2y3 + -5y2 = 0 Solving xy2 + 3x2 + -1x2y3 + -5y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy2' to each side of the equation. xy2 + 3x2 + -1x2y3 + -1xy2 + -5y2 = 0 + -1xy2 Reorder the terms: xy2 + -1xy2 + 3x2 + -1x2y3 + -5y2 = 0 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + 3x2 + -1x2y3 + -5y2 = 0 + -1xy2 3x2 + -1x2y3 + -5y2 = 0 + -1xy2 Remove the zero: 3x2 + -1x2y3 + -5y2 = -1xy2 Add '-3x2' to each side of the equation. 3x2 + -1x2y3 + -3x2 + -5y2 = -1xy2 + -3x2 Reorder the terms: 3x2 + -3x2 + -1x2y3 + -5y2 = -1xy2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + -1x2y3 + -5y2 = -1xy2 + -3x2 -1x2y3 + -5y2 = -1xy2 + -3x2 Add 'x2y3' to each side of the equation. -1x2y3 + x2y3 + -5y2 = -1xy2 + -3x2 + x2y3 Combine like terms: -1x2y3 + x2y3 = 0 0 + -5y2 = -1xy2 + -3x2 + x2y3 -5y2 = -1xy2 + -3x2 + x2y3 Add '5y2' to each side of the equation. -5y2 + 5y2 = -1xy2 + -3x2 + x2y3 + 5y2 Combine like terms: -5y2 + 5y2 = 0 0 = -1xy2 + -3x2 + x2y3 + 5y2 Simplifying 0 = -1xy2 + -3x2 + x2y3 + 5y2 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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