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Simplifying 3(y2 + 7xy) + (6x2) * dx + x2dy = 0 Reorder the terms: 3(7xy + y2) + (6x2) * dx + x2dy = 0 (7xy * 3 + y2 * 3) + (6x2) * dx + x2dy = 0 (21xy + 3y2) + (6x2) * dx + x2dy = 0 Remove parenthesis around (6x2) 21xy + 3y2 + 6x2 * dx + x2dy = 0 Multiply x2 * dx 21xy + 3y2 + 6dx3 + x2dy = 0 Reorder the terms: dx2y + 6dx3 + 21xy + 3y2 = 0 Solving dx2y + 6dx3 + 21xy + 3y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21xy' to each side of the equation. dx2y + 6dx3 + 21xy + -21xy + 3y2 = 0 + -21xy Combine like terms: 21xy + -21xy = 0 dx2y + 6dx3 + 0 + 3y2 = 0 + -21xy dx2y + 6dx3 + 3y2 = 0 + -21xy Remove the zero: dx2y + 6dx3 + 3y2 = -21xy Add '-3y2' to each side of the equation. dx2y + 6dx3 + 3y2 + -3y2 = -21xy + -3y2 Combine like terms: 3y2 + -3y2 = 0 dx2y + 6dx3 + 0 = -21xy + -3y2 dx2y + 6dx3 = -21xy + -3y2 Reorder the terms: dx2y + 6dx3 + 21xy + 3y2 = -21xy + 21xy + -3y2 + 3y2 Combine like terms: -21xy + 21xy = 0 dx2y + 6dx3 + 21xy + 3y2 = 0 + -3y2 + 3y2 dx2y + 6dx3 + 21xy + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 dx2y + 6dx3 + 21xy + 3y2 = 0 The solution to this equation could not be determined.
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