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Simplifying (x + 2y) * dx + (2x + 3y) = 0 Reorder the terms for easier multiplication: dx(x + 2y) + (2x + 3y) = 0 (x * dx + 2y * dx) + (2x + 3y) = 0 Reorder the terms: (2dxy + dx2) + (2x + 3y) = 0 (2dxy + dx2) + (2x + 3y) = 0 Remove parenthesis around (2x + 3y) 2dxy + dx2 + 2x + 3y = 0 Solving 2dxy + dx2 + 2x + 3y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2dxy + dx2 + 2x + -2x + 3y = 0 + -2x Combine like terms: 2x + -2x = 0 2dxy + dx2 + 0 + 3y = 0 + -2x 2dxy + dx2 + 3y = 0 + -2x Remove the zero: 2dxy + dx2 + 3y = -2x Add '-3y' to each side of the equation. 2dxy + dx2 + 3y + -3y = -2x + -3y Combine like terms: 3y + -3y = 0 2dxy + dx2 + 0 = -2x + -3y 2dxy + dx2 = -2x + -3y Reorder the terms: 2dxy + dx2 + 2x + 3y = -2x + 2x + -3y + 3y Combine like terms: -2x + 2x = 0 2dxy + dx2 + 2x + 3y = 0 + -3y + 3y 2dxy + dx2 + 2x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 2dxy + dx2 + 2x + 3y = 0 The solution to this equation could not be determined.
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