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Simplifying q2 + 6q + 14 = 0 Reorder the terms: 14 + 6q + q2 = 0 Solving 14 + 6q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 6q + -14 + q2 = 0 + -14 Reorder the terms: 14 + -14 + 6q + q2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6q + q2 = 0 + -14 6q + q2 = 0 + -14 Combine like terms: 0 + -14 = -14 6q + q2 = -14 The q term is 6q. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6q + 9 + q2 = -14 + 9 Reorder the terms: 9 + 6q + q2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + 6q + q2 = -5 Factor a perfect square on the left side: (q + 3)(q + 3) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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