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Simplifying 3(3x2 + y2) * DX + -1(2xy) * dy = 0 Reorder the terms for easier multiplication: 3DX(3x2 + y2) + -1(2xy) * dy = 0 (3x2 * 3DX + y2 * 3DX) + -1(2xy) * dy = 0 (9x2DX + 3y2DX) + -1(2xy) * dy = 0 Remove parenthesis around (2xy) 9x2DX + 3y2DX + -1 * 2xy * dy = 0 Multiply -1 * 2 9x2DX + 3y2DX + -2xy * dy = 0 Multiply xy * dy 9x2DX + 3y2DX + -2dxy2 = 0 Reorder the terms: -2dxy2 + 9x2DX + 3y2DX = 0 Solving -2dxy2 + 9x2DX + 3y2DX = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9x2DX' to each side of the equation. -2dxy2 + 9x2DX + -9x2DX + 3y2DX = 0 + -9x2DX Combine like terms: 9x2DX + -9x2DX = 0 -2dxy2 + 0 + 3y2DX = 0 + -9x2DX -2dxy2 + 3y2DX = 0 + -9x2DX Remove the zero: -2dxy2 + 3y2DX = -9x2DX Add '-3y2DX' to each side of the equation. -2dxy2 + 3y2DX + -3y2DX = -9x2DX + -3y2DX Combine like terms: 3y2DX + -3y2DX = 0 -2dxy2 + 0 = -9x2DX + -3y2DX -2dxy2 = -9x2DX + -3y2DX Divide each side by '-2xy2'. d = 4.5xy-2DX + 1.5x-1DX Simplifying d = 4.5xy-2DX + 1.5x-1DX Reorder the terms: d = 1.5x-1DX + 4.5xy-2DX
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