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Simplifying 3q2 + -54q + 451 = 0 Reorder the terms: 451 + -54q + 3q2 = 0 Solving 451 + -54q + 3q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 150.3333333 + -18q + q2 = 0 Move the constant term to the right: Add '-150.3333333' to each side of the equation. 150.3333333 + -18q + -150.3333333 + q2 = 0 + -150.3333333 Reorder the terms: 150.3333333 + -150.3333333 + -18q + q2 = 0 + -150.3333333 Combine like terms: 150.3333333 + -150.3333333 = 0.0000000 0.0000000 + -18q + q2 = 0 + -150.3333333 -18q + q2 = 0 + -150.3333333 Combine like terms: 0 + -150.3333333 = -150.3333333 -18q + q2 = -150.3333333 The q term is -18q. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18q + 81 + q2 = -150.3333333 + 81 Reorder the terms: 81 + -18q + q2 = -150.3333333 + 81 Combine like terms: -150.3333333 + 81 = -69.3333333 81 + -18q + q2 = -69.3333333 Factor a perfect square on the left side: (q + -9)(q + -9) = -69.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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