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Simplifying q2 + 2q + 12 = 0 Reorder the terms: 12 + 2q + q2 = 0 Solving 12 + 2q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 2q + -12 + q2 = 0 + -12 Reorder the terms: 12 + -12 + 2q + q2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2q + q2 = 0 + -12 2q + q2 = 0 + -12 Combine like terms: 0 + -12 = -12 2q + q2 = -12 The q term is 2q. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2q + 1 + q2 = -12 + 1 Reorder the terms: 1 + 2q + q2 = -12 + 1 Combine like terms: -12 + 1 = -11 1 + 2q + q2 = -11 Factor a perfect square on the left side: (q + 1)(q + 1) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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