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Simplifying q + -14 + -2q2 = 0 Reorder the terms: -14 + q + -2q2 = 0 Solving -14 + q + -2q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 7 + -0.5q + q2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.5q + -7 + q2 = 0 + -7 Reorder the terms: 7 + -7 + -0.5q + q2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5q + q2 = 0 + -7 -0.5q + q2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.5q + q2 = -7 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. -0.5q + 0.25 + q2 = -7 + 0.25 Reorder the terms: 0.25 + -0.5q + q2 = -7 + 0.25 Combine like terms: -7 + 0.25 = -6.75 0.25 + -0.5q + q2 = -6.75 Factor a perfect square on the left side: (q + 0.5)(q + 0.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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