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Simplifying bx3 + cx2 + dx + e = 0 Solving bx3 + cx2 + dx + e = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1cx2' to each side of the equation. bx3 + cx2 + dx + -1cx2 + e = 0 + -1cx2 Reorder the terms: bx3 + cx2 + -1cx2 + dx + e = 0 + -1cx2 Combine like terms: cx2 + -1cx2 = 0 bx3 + 0 + dx + e = 0 + -1cx2 bx3 + dx + e = 0 + -1cx2 Remove the zero: bx3 + dx + e = -1cx2 Add '-1dx' to each side of the equation. bx3 + dx + -1dx + e = -1cx2 + -1dx Combine like terms: dx + -1dx = 0 bx3 + 0 + e = -1cx2 + -1dx bx3 + e = -1cx2 + -1dx Add '-1e' to each side of the equation. bx3 + e + -1e = -1cx2 + -1dx + -1e Combine like terms: e + -1e = 0 bx3 + 0 = -1cx2 + -1dx + -1e bx3 = -1cx2 + -1dx + -1e Divide each side by 'x3'. b = -1cx-1 + -1dx-2 + -1ex-3 Simplifying b = -1cx-1 + -1dx-2 + -1ex-3
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