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Simplifying 3.25q2 + -6q + 76 = 0 Reorder the terms: 76 + -6q + 3.25q2 = 0 Solving 76 + -6q + 3.25q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 3.25 the coefficient of the squared term: Divide each side by '3.25'. 23.38461538 + -1.846153846q + q2 = 0 Move the constant term to the right: Add '-23.38461538' to each side of the equation. 23.38461538 + -1.846153846q + -23.38461538 + q2 = 0 + -23.38461538 Reorder the terms: 23.38461538 + -23.38461538 + -1.846153846q + q2 = 0 + -23.38461538 Combine like terms: 23.38461538 + -23.38461538 = 0.00000000 0.00000000 + -1.846153846q + q2 = 0 + -23.38461538 -1.846153846q + q2 = 0 + -23.38461538 Combine like terms: 0 + -23.38461538 = -23.38461538 -1.846153846q + q2 = -23.38461538 The q term is -1.846153846q. Take half its coefficient (-0.923076923). Square it (0.8520710058) and add it to both sides. Add '0.8520710058' to each side of the equation. -1.846153846q + 0.8520710058 + q2 = -23.38461538 + 0.8520710058 Reorder the terms: 0.8520710058 + -1.846153846q + q2 = -23.38461538 + 0.8520710058 Combine like terms: -23.38461538 + 0.8520710058 = -22.5325443742 0.8520710058 + -1.846153846q + q2 = -22.5325443742 Factor a perfect square on the left side: (q + -0.923076923)(q + -0.923076923) = -22.5325443742 Can't calculate square root of the right side. The solution to this equation could not be determined.
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