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Simplifying at2 + bt + c = 0fort Anything times zero is zero. at2 + bt + c = 0fort Solving at2 + bt + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bt' to each side of the equation. at2 + bt + -1bt + c = 0 + -1bt Combine like terms: bt + -1bt = 0 at2 + 0 + c = 0 + -1bt at2 + c = 0 + -1bt Remove the zero: at2 + c = -1bt Add '-1c' to each side of the equation. at2 + c + -1c = -1bt + -1c Combine like terms: c + -1c = 0 at2 + 0 = -1bt + -1c at2 = -1bt + -1c Divide each side by 't2'. a = -1bt-1 + -1ct-2 Simplifying a = -1bt-1 + -1ct-2
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