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Simplifying an2 + bn + c = 0 Solving an2 + bn + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bn' to each side of the equation. an2 + bn + -1bn + c = 0 + -1bn Combine like terms: bn + -1bn = 0 an2 + 0 + c = 0 + -1bn an2 + c = 0 + -1bn Remove the zero: an2 + c = -1bn Add '-1c' to each side of the equation. an2 + c + -1c = -1bn + -1c Combine like terms: c + -1c = 0 an2 + 0 = -1bn + -1c an2 = -1bn + -1c Divide each side by 'n2'. a = -1bn-1 + -1cn-2 Simplifying a = -1bn-1 + -1cn-2
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