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Simplifying au2 + bu + c = 0 Solving au2 + bu + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bu' to each side of the equation. au2 + bu + -1bu + c = 0 + -1bu Combine like terms: bu + -1bu = 0 au2 + 0 + c = 0 + -1bu au2 + c = 0 + -1bu Remove the zero: au2 + c = -1bu Add '-1c' to each side of the equation. au2 + c + -1c = -1bu + -1c Combine like terms: c + -1c = 0 au2 + 0 = -1bu + -1c au2 = -1bu + -1c Divide each side by 'u2'. a = -1bu-1 + -1cu-2 Simplifying a = -1bu-1 + -1cu-2
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