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Simplifying 2x3 * y * dx + (x4 + y4) * dy = 0 Multiply x3 * y 2x3y * dx + (x4 + y4) * dy = 0 Multiply x3y * dx 2dx4y + (x4 + y4) * dy = 0 Reorder the terms for easier multiplication: 2dx4y + dy(x4 + y4) = 0 2dx4y + (x4 * dy + y4 * dy) = 0 2dx4y + (dx4y + dy5) = 0 Combine like terms: 2dx4y + dx4y = 3dx4y 3dx4y + dy5 = 0 Solving 3dx4y + dy5 = 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(3x4 + y4) = 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 '(3x4 + y4)' equal to zero and attempt to solve: Simplifying 3x4 + y4 = 0 Solving 3x4 + y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x4' to each side of the equation. 3x4 + -3x4 + y4 = 0 + -3x4 Combine like terms: 3x4 + -3x4 = 0 0 + y4 = 0 + -3x4 y4 = 0 + -3x4 Remove the zero: y4 = -3x4 Add '-1y4' to each side of the equation. y4 + -1y4 = -3x4 + -1y4 Combine like terms: y4 + -1y4 = 0 0 = -3x4 + -1y4 Simplifying 0 = -3x4 + -1y4 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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