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Simplifying (3y2 + 10xy2) * dx + (6xy + -2 + 10x2y) = 0 Reorder the terms: (10xy2 + 3y2) * dx + (6xy + -2 + 10x2y) = 0 Reorder the terms for easier multiplication: dx(10xy2 + 3y2) + (6xy + -2 + 10x2y) = 0 (10xy2 * dx + 3y2 * dx) + (6xy + -2 + 10x2y) = 0 Reorder the terms: (3dxy2 + 10dx2y2) + (6xy + -2 + 10x2y) = 0 (3dxy2 + 10dx2y2) + (6xy + -2 + 10x2y) = 0 Reorder the terms: 3dxy2 + 10dx2y2 + (-2 + 6xy + 10x2y) = 0 Remove parenthesis around (-2 + 6xy + 10x2y) 3dxy2 + 10dx2y2 + -2 + 6xy + 10x2y = 0 Reorder the terms: -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 Solving -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3dxy2 + 10dx2y2 + 6xy + 2 + 10x2y = 0 + 2 Reorder the terms: -2 + 2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 + 2 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 + 2 Combine like terms: 0 + 2 = 2 3dxy2 + 10dx2y2 + 6xy + 10x2y = 2 Add '-6xy' to each side of the equation. 3dxy2 + 10dx2y2 + 6xy + -6xy + 10x2y = 2 + -6xy Combine like terms: 6xy + -6xy = 0 3dxy2 + 10dx2y2 + 0 + 10x2y = 2 + -6xy 3dxy2 + 10dx2y2 + 10x2y = 2 + -6xy Add '-10x2y' to each side of the equation. 3dxy2 + 10dx2y2 + 10x2y + -10x2y = 2 + -6xy + -10x2y Combine like terms: 10x2y + -10x2y = 0 3dxy2 + 10dx2y2 + 0 = 2 + -6xy + -10x2y 3dxy2 + 10dx2y2 = 2 + -6xy + -10x2y Reorder the terms: -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 2 + -6xy + -10x2y + -2 + 6xy + 10x2y Reorder the terms: -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 2 + -2 + -6xy + 6xy + -10x2y + 10x2y Combine like terms: 2 + -2 = 0 -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 + -6xy + 6xy + -10x2y + 10x2y -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = -6xy + 6xy + -10x2y + 10x2y Combine like terms: -6xy + 6xy = 0 -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 + -10x2y + 10x2y -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = -10x2y + 10x2y Combine like terms: -10x2y + 10x2y = 0 -2 + 3dxy2 + 10dx2y2 + 6xy + 10x2y = 0 The solution to this equation could not be determined.
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