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Simplifying (2xy) * dx = (4x2 + 3y2) * dy Remove parenthesis around (2xy) 2xy * dx = (4x2 + 3y2) * dy Multiply xy * dx 2dx2y = (4x2 + 3y2) * dy Reorder the terms for easier multiplication: 2dx2y = dy(4x2 + 3y2) 2dx2y = (4x2 * dy + 3y2 * dy) 2dx2y = (4dx2y + 3dy3) Solving 2dx2y = 4dx2y + 3dy3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dx2y' to each side of the equation. 2dx2y + -4dx2y = 4dx2y + -4dx2y + 3dy3 Combine like terms: 2dx2y + -4dx2y = -2dx2y -2dx2y = 4dx2y + -4dx2y + 3dy3 Combine like terms: 4dx2y + -4dx2y = 0 -2dx2y = 0 + 3dy3 -2dx2y = 3dy3 Add '-3dy3' to each side of the equation. -2dx2y + -3dy3 = 3dy3 + -3dy3 Combine like terms: 3dy3 + -3dy3 = 0 -2dx2y + -3dy3 = 0 Factor out the Greatest Common Factor (GCF), '-1dy'. -1dy(2x2 + 3y2) = 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 '(2x2 + 3y2)' equal to zero and attempt to solve: Simplifying 2x2 + 3y2 = 0 Solving 2x2 + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x2' to each side of the equation. 2x2 + -2x2 + 3y2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + 3y2 = 0 + -2x2 3y2 = 0 + -2x2 Remove the zero: 3y2 = -2x2 Add '-3y2' to each side of the equation. 3y2 + -3y2 = -2x2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = -2x2 + -3y2 Simplifying 0 = -2x2 + -3y2 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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