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Simplifying (7q2 + 4q + 4) + (6q + 4) = 0 Reorder the terms: (4 + 4q + 7q2) + (6q + 4) = 0 Remove parenthesis around (4 + 4q + 7q2) 4 + 4q + 7q2 + (6q + 4) = 0 Reorder the terms: 4 + 4q + 7q2 + (4 + 6q) = 0 Remove parenthesis around (4 + 6q) 4 + 4q + 7q2 + 4 + 6q = 0 Reorder the terms: 4 + 4 + 4q + 6q + 7q2 = 0 Combine like terms: 4 + 4 = 8 8 + 4q + 6q + 7q2 = 0 Combine like terms: 4q + 6q = 10q 8 + 10q + 7q2 = 0 Solving 8 + 10q + 7q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 1.428571429q + q2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 1.428571429q + -1.142857143 + q2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 1.428571429q + q2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 1.428571429q + q2 = 0 + -1.142857143 1.428571429q + q2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 1.428571429q + q2 = -1.142857143 The q term is 1.428571429q. Take half its coefficient (0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. 1.428571429q + 0.5102040819 + q2 = -1.142857143 + 0.5102040819 Reorder the terms: 0.5102040819 + 1.428571429q + q2 = -1.142857143 + 0.5102040819 Combine like terms: -1.142857143 + 0.5102040819 = -0.6326530611 0.5102040819 + 1.428571429q + q2 = -0.6326530611 Factor a perfect square on the left side: (q + 0.7142857145)(q + 0.7142857145) = -0.6326530611 Can't calculate square root of the right side. The solution to this equation could not be determined.
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