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Simplifying x3 + bx2 + cx + d = 0 Reorder the terms: bx2 + cx + d + x3 = 0 Solving bx2 + cx + d + x3 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1cx' to each side of the equation. bx2 + cx + d + -1cx + x3 = 0 + -1cx Reorder the terms: bx2 + cx + -1cx + d + x3 = 0 + -1cx Combine like terms: cx + -1cx = 0 bx2 + 0 + d + x3 = 0 + -1cx bx2 + d + x3 = 0 + -1cx Remove the zero: bx2 + d + x3 = -1cx Add '-1d' to each side of the equation. bx2 + d + -1d + x3 = -1cx + -1d Combine like terms: d + -1d = 0 bx2 + 0 + x3 = -1cx + -1d bx2 + x3 = -1cx + -1d Add '-1x3' to each side of the equation. bx2 + x3 + -1x3 = -1cx + -1d + -1x3 Combine like terms: x3 + -1x3 = 0 bx2 + 0 = -1cx + -1d + -1x3 bx2 = -1cx + -1d + -1x3 Divide each side by 'x2'. b = -1cx-1 + -1dx-2 + -1x Simplifying b = -1cx-1 + -1dx-2 + -1x
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