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Simplifying (1 + x) * ydx + (1 + -1y) = 0xdy Reorder the terms for easier multiplication: dxy(1 + x) + (1 + -1y) = 0xdy (1 * dxy + x * dxy) + (1 + -1y) = 0xdy (1dxy + dx2y) + (1 + -1y) = 0xdy Remove parenthesis around (1 + -1y) 1dxy + dx2y + 1 + -1y = 0xdy Reorder the terms: 1 + 1dxy + dx2y + -1y = 0xdy Anything times zero is zero. 1 + 1dxy + dx2y + -1y = 0dxy Solving 1 + 1dxy + dx2y + -1y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1dxy + dx2y + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + 1dxy + dx2y + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1dxy + dx2y + -1y = 0 + -1 1dxy + dx2y + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 1dxy + dx2y + -1y = -1 Add 'y' to each side of the equation. 1dxy + dx2y + -1y + y = -1 + y Combine like terms: -1y + y = 0 1dxy + dx2y + 0 = -1 + y 1dxy + dx2y = -1 + y Reorder the terms: 1 + 1dxy + dx2y + -1y = -1 + y + 1 + -1y Reorder the terms: 1 + 1dxy + dx2y + -1y = -1 + 1 + y + -1y Combine like terms: -1 + 1 = 0 1 + 1dxy + dx2y + -1y = 0 + y + -1y 1 + 1dxy + dx2y + -1y = y + -1y Combine like terms: y + -1y = 0 1 + 1dxy + dx2y + -1y = 0 The solution to this equation could not be determined.
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