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Simplifying 6q2 + 5 = -7q Reorder the terms: 5 + 6q2 = -7q Solving 5 + 6q2 = -7q Solving for variable 'q'. Reorder the terms: 5 + 7q + 6q2 = -7q + 7q Combine like terms: -7q + 7q = 0 5 + 7q + 6q2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + 1.166666667q + q2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + 1.166666667q + -0.8333333333 + q2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + 1.166666667q + q2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + 1.166666667q + q2 = 0 + -0.8333333333 1.166666667q + q2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 1.166666667q + q2 = -0.8333333333 The q term is 1.166666667q. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667q + 0.3402777780 + q2 = -0.8333333333 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667q + q2 = -0.8333333333 + 0.3402777780 Combine like terms: -0.8333333333 + 0.3402777780 = -0.4930555553 0.3402777780 + 1.166666667q + q2 = -0.4930555553 Factor a perfect square on the left side: (q + 0.5833333335)(q + 0.5833333335) = -0.4930555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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