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Simplifying (6x2y + -1y4) * dx + -1(2x3 + 2y3) * dy = 0 Reorder the terms for easier multiplication: dx(6x2y + -1y4) + -1(2x3 + 2y3) * dy = 0 (6x2y * dx + -1y4 * dx) + -1(2x3 + 2y3) * dy = 0 Reorder the terms: (-1dxy4 + 6dx3y) + -1(2x3 + 2y3) * dy = 0 (-1dxy4 + 6dx3y) + -1(2x3 + 2y3) * dy = 0 Reorder the terms for easier multiplication: -1dxy4 + 6dx3y + -1dy(2x3 + 2y3) = 0 -1dxy4 + 6dx3y + (2x3 * -1dy + 2y3 * -1dy) = 0 -1dxy4 + 6dx3y + (-2dx3y + -2dy4) = 0 Combine like terms: 6dx3y + -2dx3y = 4dx3y -1dxy4 + 4dx3y + -2dy4 = 0 Solving -1dxy4 + 4dx3y + -2dy4 = 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(-1xy3 + 4x3 + -2y3) = 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 '(-1xy3 + 4x3 + -2y3)' equal to zero and attempt to solve: Simplifying -1xy3 + 4x3 + -2y3 = 0 Solving -1xy3 + 4x3 + -2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add 'xy3' to each side of the equation. -1xy3 + 4x3 + xy3 + -2y3 = 0 + xy3 Reorder the terms: -1xy3 + xy3 + 4x3 + -2y3 = 0 + xy3 Combine like terms: -1xy3 + xy3 = 0 0 + 4x3 + -2y3 = 0 + xy3 4x3 + -2y3 = 0 + xy3 Remove the zero: 4x3 + -2y3 = xy3 Add '-4x3' to each side of the equation. 4x3 + -4x3 + -2y3 = xy3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 0 + -2y3 = xy3 + -4x3 -2y3 = xy3 + -4x3 Add '2y3' to each side of the equation. -2y3 + 2y3 = xy3 + -4x3 + 2y3 Combine like terms: -2y3 + 2y3 = 0 0 = xy3 + -4x3 + 2y3 Simplifying 0 = xy3 + -4x3 + 2y3 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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