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Simplifying 0.25q2 + q + 5 = 0 Reorder the terms: 5 + q + 0.25q2 = 0 Solving 5 + q + 0.25q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 20 + 4q + q2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + 4q + -20 + q2 = 0 + -20 Reorder the terms: 20 + -20 + 4q + q2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4q + q2 = 0 + -20 4q + q2 = 0 + -20 Combine like terms: 0 + -20 = -20 4q + q2 = -20 The q term is q. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 4q + 0.25 + q2 = -20 + 0.25 Reorder the terms: 0.25 + 4q + q2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + 4q + q2 = -19.75 Factor a perfect square on the left side: (q + 0.5)(q + 0.5) = -19.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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