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Simplifying q2 + q + 6 = 0 Reorder the terms: 6 + q + q2 = 0 Solving 6 + q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + q + -6 + q2 = 0 + -6 Reorder the terms: 6 + -6 + q + q2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + q + q2 = 0 + -6 q + q2 = 0 + -6 Combine like terms: 0 + -6 = -6 q + q2 = -6 The q term is q. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. q + 0.25 + q2 = -6 + 0.25 Reorder the terms: 0.25 + q + q2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + q + q2 = -5.75 Factor a perfect square on the left side: (q + 0.5)(q + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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