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Simplifying aq2 + bq + c + 27 = 0 Reorder the terms: 27 + aq2 + bq + c = 0 Solving 27 + aq2 + bq + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + aq2 + bq + -27 + c = 0 + -27 Reorder the terms: 27 + -27 + aq2 + bq + c = 0 + -27 Combine like terms: 27 + -27 = 0 0 + aq2 + bq + c = 0 + -27 aq2 + bq + c = 0 + -27 Combine like terms: 0 + -27 = -27 aq2 + bq + c = -27 Add '-1bq' to each side of the equation. aq2 + bq + -1bq + c = -27 + -1bq Combine like terms: bq + -1bq = 0 aq2 + 0 + c = -27 + -1bq aq2 + c = -27 + -1bq Add '-1c' to each side of the equation. aq2 + c + -1c = -27 + -1bq + -1c Combine like terms: c + -1c = 0 aq2 + 0 = -27 + -1bq + -1c aq2 = -27 + -1bq + -1c Divide each side by 'q2'. a = -27q-2 + -1bq-1 + -1cq-2 Simplifying a = -27q-2 + -1bq-1 + -1cq-2 Reorder the terms: a = -1bq-1 + -1cq-2 + -27q-2
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