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Simplifying 4x3 + 2hxy + by2 + 2gx + 2fy + c = 0 Reorder the terms: by2 + c + 2fy + 2gx + 2hxy + 4x3 = 0 Solving by2 + c + 2fy + 2gx + 2hxy + 4x3 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. by2 + c + 2fy + 2gx + 2hxy + -1c + 4x3 = 0 + -1c Reorder the terms: by2 + c + -1c + 2fy + 2gx + 2hxy + 4x3 = 0 + -1c Combine like terms: c + -1c = 0 by2 + 0 + 2fy + 2gx + 2hxy + 4x3 = 0 + -1c by2 + 2fy + 2gx + 2hxy + 4x3 = 0 + -1c Remove the zero: by2 + 2fy + 2gx + 2hxy + 4x3 = -1c Add '-2fy' to each side of the equation. by2 + 2fy + 2gx + 2hxy + -2fy + 4x3 = -1c + -2fy Reorder the terms: by2 + 2fy + -2fy + 2gx + 2hxy + 4x3 = -1c + -2fy Combine like terms: 2fy + -2fy = 0 by2 + 0 + 2gx + 2hxy + 4x3 = -1c + -2fy by2 + 2gx + 2hxy + 4x3 = -1c + -2fy Add '-2gx' to each side of the equation. by2 + 2gx + 2hxy + -2gx + 4x3 = -1c + -2fy + -2gx Reorder the terms: by2 + 2gx + -2gx + 2hxy + 4x3 = -1c + -2fy + -2gx Combine like terms: 2gx + -2gx = 0 by2 + 0 + 2hxy + 4x3 = -1c + -2fy + -2gx by2 + 2hxy + 4x3 = -1c + -2fy + -2gx Add '-2hxy' to each side of the equation. by2 + 2hxy + -2hxy + 4x3 = -1c + -2fy + -2gx + -2hxy Combine like terms: 2hxy + -2hxy = 0 by2 + 0 + 4x3 = -1c + -2fy + -2gx + -2hxy by2 + 4x3 = -1c + -2fy + -2gx + -2hxy Add '-4x3' to each side of the equation. by2 + 4x3 + -4x3 = -1c + -2fy + -2gx + -2hxy + -4x3 Combine like terms: 4x3 + -4x3 = 0 by2 + 0 = -1c + -2fy + -2gx + -2hxy + -4x3 by2 = -1c + -2fy + -2gx + -2hxy + -4x3 Divide each side by 'y2'. b = -1cy-2 + -2fy-1 + -2gxy-2 + -2hxy-1 + -4x3y-2 Simplifying b = -1cy-2 + -2fy-1 + -2gxy-2 + -2hxy-1 + -4x3y-2
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