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Simplifying y[(x3)(y3) + (2x2) + -1(y)] * dx + [(x4)(y3) + -1(2x3)] * dy = 0 Multiply x3 * y3 y[x3y3 + (2x2) + -1(y)] * dx + [(x4)(y3) + -1(2x3)] * dy = 0 Reorder the terms: y[(2x2) + x3y3 + -1y] * dx + [(x4)(y3) + -1(2x3)] * dy = 0 Reorder the terms for easier multiplication: y * dx[(2x2) + x3y3 + -1y] + [(x4)(y3) + -1(2x3)] * dy = 0 Multiply y * dx dxy[(2x2) + x3y3 + -1y] + [(x4)(y3) + -1(2x3)] * dy = 0 [(2x2) * dxy + x3y3 * dxy + -1y * dxy] + [(x4)(y3) + -1(2x3)] * dy = 0 Reorder the terms: [-1dxy2 + 2dx3y + dx4y4] + [(x4)(y3) + -1(2x3)] * dy = 0 [-1dxy2 + 2dx3y + dx4y4] + [(x4)(y3) + -1(2x3)] * dy = 0 Multiply x4 * y3 -1dxy2 + 2dx3y + dx4y4 + [x4y3 + -1(2x3)] * dy = 0 Remove parenthesis around (2x3) -1dxy2 + 2dx3y + dx4y4 + [x4y3 + -1 * 2x3] * dy = 0 Multiply -1 * 2 -1dxy2 + 2dx3y + dx4y4 + [x4y3 + -2x3] * dy = 0 Reorder the terms: -1dxy2 + 2dx3y + dx4y4 + [-2x3 + x4y3] * dy = 0 Reorder the terms for easier multiplication: -1dxy2 + 2dx3y + dx4y4 + dy[-2x3 + x4y3] = 0 -1dxy2 + 2dx3y + dx4y4 + [-2x3 * dy + x4y3 * dy] = 0 -1dxy2 + 2dx3y + dx4y4 + [-2dx3y + dx4y4] = 0 Reorder the terms: -1dxy2 + 2dx3y + -2dx3y + dx4y4 + dx4y4 = 0 Combine like terms: 2dx3y + -2dx3y = 0 -1dxy2 + 0 + dx4y4 + dx4y4 = 0 -1dxy2 + dx4y4 + dx4y4 = 0 Combine like terms: dx4y4 + dx4y4 = 2dx4y4 -1dxy2 + 2dx4y4 = 0 Solving -1dxy2 + 2dx4y4 = 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), 'dxy2'. dxy2(-1 + 2x3y2) = 0Subproblem 1
Set the factor 'dxy2' equal to zero and attempt to solve: Simplifying dxy2 = 0 Solving dxy2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy2 = 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 '(-1 + 2x3y2)' equal to zero and attempt to solve: Simplifying -1 + 2x3y2 = 0 Solving -1 + 2x3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x3y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x3y2 = 0 + 1 2x3y2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x3y2 = 1 Add '-2x3y2' to each side of the equation. 2x3y2 + -2x3y2 = 1 + -2x3y2 Combine like terms: 2x3y2 + -2x3y2 = 0 0 = 1 + -2x3y2 Simplifying 0 = 1 + -2x3y2 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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