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Simplifying -0.34q + -0.08q2 = 50.5 Solving -0.34q + -0.08q2 = 50.5 Solving for variable 'q'. Reorder the terms: -50.5 + -0.34q + -0.08q2 = 50.5 + -50.5 Combine like terms: 50.5 + -50.5 = 0.0 -50.5 + -0.34q + -0.08q2 = 0.0 Begin completing the square. Divide all terms by -0.08 the coefficient of the squared term: Divide each side by '-0.08'. 631.25 + 4.25q + q2 = 0 Move the constant term to the right: Add '-631.25' to each side of the equation. 631.25 + 4.25q + -631.25 + q2 = 0 + -631.25 Reorder the terms: 631.25 + -631.25 + 4.25q + q2 = 0 + -631.25 Combine like terms: 631.25 + -631.25 = 0.00 0.00 + 4.25q + q2 = 0 + -631.25 4.25q + q2 = 0 + -631.25 Combine like terms: 0 + -631.25 = -631.25 4.25q + q2 = -631.25 The q term is 4.25q. Take half its coefficient (2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. 4.25q + 4.515625 + q2 = -631.25 + 4.515625 Reorder the terms: 4.515625 + 4.25q + q2 = -631.25 + 4.515625 Combine like terms: -631.25 + 4.515625 = -626.734375 4.515625 + 4.25q + q2 = -626.734375 Factor a perfect square on the left side: (q + 2.125)(q + 2.125) = -626.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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