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Simplifying 5q2 + 7q + 11 = 0 Reorder the terms: 11 + 7q + 5q2 = 0 Solving 11 + 7q + 5q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + 1.4q + q2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + 1.4q + -2.2 + q2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + 1.4q + q2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 1.4q + q2 = 0 + -2.2 1.4q + q2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 1.4q + q2 = -2.2 The q term is 1.4q. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4q + 0.49 + q2 = -2.2 + 0.49 Reorder the terms: 0.49 + 1.4q + q2 = -2.2 + 0.49 Combine like terms: -2.2 + 0.49 = -1.71 0.49 + 1.4q + q2 = -1.71 Factor a perfect square on the left side: (q + 0.7)(q + 0.7) = -1.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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