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Simplifying 2(x2) * ydx = (3x3 + y3) * dy Multiply x2 * dxy 2dx3y = (3x3 + y3) * dy Reorder the terms for easier multiplication: 2dx3y = dy(3x3 + y3) 2dx3y = (3x3 * dy + y3 * dy) 2dx3y = (3dx3y + dy4) Solving 2dx3y = 3dx3y + dy4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dx3y' to each side of the equation. 2dx3y + -3dx3y = 3dx3y + -3dx3y + dy4 Combine like terms: 2dx3y + -3dx3y = -1dx3y -1dx3y = 3dx3y + -3dx3y + dy4 Combine like terms: 3dx3y + -3dx3y = 0 -1dx3y = 0 + dy4 -1dx3y = dy4 Add '-1dy4' to each side of the equation. -1dx3y + -1dy4 = dy4 + -1dy4 Combine like terms: dy4 + -1dy4 = 0 -1dx3y + -1dy4 = 0 Factor out the Greatest Common Factor (GCF), '-1dy'. -1dy(x3 + y3) = 0 Ignore the factor -1.Subproblem 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 '(x3 + y3)' equal to zero and attempt to solve: Simplifying x3 + y3 = 0 Solving x3 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x3' to each side of the equation. x3 + -1x3 + y3 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + y3 = 0 + -1x3 y3 = 0 + -1x3 Remove the zero: y3 = -1x3 Add '-1y3' to each side of the equation. y3 + -1y3 = -1x3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1x3 + -1y3 Simplifying 0 = -1x3 + -1y3 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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