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Simplifying ((2x3 * y) + -1(2y3)) * dy = (3x5 + 3x2 * y2) * dx Multiply x3 * y ((2x3y) + -1(2y3)) * dy = (3x5 + 3x2 * y2) * dx Remove parenthesis around (2y3) ((2x3y) + -1 * 2y3) * dy = (3x5 + 3x2 * y2) * dx Multiply -1 * 2 ((2x3y) + -2y3) * dy = (3x5 + 3x2 * y2) * dx Reorder the terms for easier multiplication: dy((2x3y) + -2y3) = (3x5 + 3x2 * y2) * dx ((2x3y) * dy + -2y3 * dy) = (3x5 + 3x2 * y2) * dx (2dx3y2 + -2dy4) = (3x5 + 3x2 * y2) * dx Multiply x2 * y2 2dx3y2 + -2dy4 = (3x5 + 3x2y2) * dx Reorder the terms: 2dx3y2 + -2dy4 = (3x2y2 + 3x5) * dx Reorder the terms for easier multiplication: 2dx3y2 + -2dy4 = dx(3x2y2 + 3x5) 2dx3y2 + -2dy4 = (3x2y2 * dx + 3x5 * dx) 2dx3y2 + -2dy4 = (3dx3y2 + 3dx6) Solving 2dx3y2 + -2dy4 = 3dx3y2 + 3dx6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dx3y2' to each side of the equation. 2dx3y2 + -3dx3y2 + -2dy4 = 3dx3y2 + -3dx3y2 + 3dx6 Combine like terms: 2dx3y2 + -3dx3y2 = -1dx3y2 -1dx3y2 + -2dy4 = 3dx3y2 + -3dx3y2 + 3dx6 Combine like terms: 3dx3y2 + -3dx3y2 = 0 -1dx3y2 + -2dy4 = 0 + 3dx6 -1dx3y2 + -2dy4 = 3dx6 Add '-3dx6' to each side of the equation. -1dx3y2 + -3dx6 + -2dy4 = 3dx6 + -3dx6 Combine like terms: 3dx6 + -3dx6 = 0 -1dx3y2 + -3dx6 + -2dy4 = 0 Factor out the Greatest Common Factor (GCF), '-1d'. -1d(x3y2 + 3x6 + 2y4) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(x3y2 + 3x6 + 2y4)' equal to zero and attempt to solve: Simplifying x3y2 + 3x6 + 2y4 = 0 Solving x3y2 + 3x6 + 2y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x3y2' to each side of the equation. x3y2 + 3x6 + -1x3y2 + 2y4 = 0 + -1x3y2 Reorder the terms: x3y2 + -1x3y2 + 3x6 + 2y4 = 0 + -1x3y2 Combine like terms: x3y2 + -1x3y2 = 0 0 + 3x6 + 2y4 = 0 + -1x3y2 3x6 + 2y4 = 0 + -1x3y2 Remove the zero: 3x6 + 2y4 = -1x3y2 Add '-3x6' to each side of the equation. 3x6 + -3x6 + 2y4 = -1x3y2 + -3x6 Combine like terms: 3x6 + -3x6 = 0 0 + 2y4 = -1x3y2 + -3x6 2y4 = -1x3y2 + -3x6 Add '-2y4' to each side of the equation. 2y4 + -2y4 = -1x3y2 + -3x6 + -2y4 Combine like terms: 2y4 + -2y4 = 0 0 = -1x3y2 + -3x6 + -2y4 Simplifying 0 = -1x3y2 + -3x6 + -2y4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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