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Simplifying 300 + -33q + 1.5q2 = 0 Solving 300 + -33q + 1.5q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 1.5 the coefficient of the squared term: Divide each side by '1.5'. 200 + -22q + q2 = 0 Move the constant term to the right: Add '-200' to each side of the equation. 200 + -22q + -200 + q2 = 0 + -200 Reorder the terms: 200 + -200 + -22q + q2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -22q + q2 = 0 + -200 -22q + q2 = 0 + -200 Combine like terms: 0 + -200 = -200 -22q + q2 = -200 The q term is -22q. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22q + 121 + q2 = -200 + 121 Reorder the terms: 121 + -22q + q2 = -200 + 121 Combine like terms: -200 + 121 = -79 121 + -22q + q2 = -79 Factor a perfect square on the left side: (q + -11)(q + -11) = -79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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