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Simplifying 5q2 + 2q = -20 Reorder the terms: 2q + 5q2 = -20 Solving 2q + 5q2 = -20 Solving for variable 'q'. Reorder the terms: 20 + 2q + 5q2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 2q + 5q2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4 + 0.4q + q2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 0.4q + -4 + q2 = 0 + -4 Reorder the terms: 4 + -4 + 0.4q + q2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 0.4q + q2 = 0 + -4 0.4q + q2 = 0 + -4 Combine like terms: 0 + -4 = -4 0.4q + q2 = -4 The q term is 0.4q. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4q + 0.04 + q2 = -4 + 0.04 Reorder the terms: 0.04 + 0.4q + q2 = -4 + 0.04 Combine like terms: -4 + 0.04 = -3.96 0.04 + 0.4q + q2 = -3.96 Factor a perfect square on the left side: (q + 0.2)(q + 0.2) = -3.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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