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Simplifying (3x2 * y2) * dx + (2x3 * y + x3 * y4) * dy = 0 Multiply x2 * y2 (3x2y2) * dx + (2x3 * y + x3 * y4) * dy = 0 Remove parenthesis around (3x2y2) 3x2y2 * dx + (2x3 * y + x3 * y4) * dy = 0 Multiply x2y2 * dx 3dx3y2 + (2x3 * y + x3 * y4) * dy = 0 Multiply x3 * y 3dx3y2 + (2x3y + x3 * y4) * dy = 0 Multiply x3 * y4 3dx3y2 + (2x3y + x3y4) * dy = 0 Reorder the terms for easier multiplication: 3dx3y2 + dy(2x3y + x3y4) = 0 3dx3y2 + (2x3y * dy + x3y4 * dy) = 0 3dx3y2 + (2dx3y2 + dx3y5) = 0 Combine like terms: 3dx3y2 + 2dx3y2 = 5dx3y2 5dx3y2 + dx3y5 = 0 Solving 5dx3y2 + dx3y5 = 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), 'dx3y2'. dx3y2(5 + y3) = 0Subproblem 1
Set the factor 'dx3y2' equal to zero and attempt to solve: Simplifying dx3y2 = 0 Solving dx3y2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx3y2 = 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 '(5 + y3)' equal to zero and attempt to solve: Simplifying 5 + y3 = 0 Solving 5 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y3 = 0 + -5 y3 = 0 + -5 Combine like terms: 0 + -5 = -5 y3 = -5 Add '-1y3' to each side of the equation. y3 + -1y3 = -5 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -5 + -1y3 Simplifying 0 = -5 + -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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