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Simplifying q2 + -4q + 14 = 0 Reorder the terms: 14 + -4q + q2 = 0 Solving 14 + -4q + 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 + -4q + -14 + q2 = 0 + -14 Reorder the terms: 14 + -14 + -4q + q2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -4q + q2 = 0 + -14 -4q + q2 = 0 + -14 Combine like terms: 0 + -14 = -14 -4q + q2 = -14 The q term is -4q. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4q + 4 + q2 = -14 + 4 Reorder the terms: 4 + -4q + q2 = -14 + 4 Combine like terms: -14 + 4 = -10 4 + -4q + q2 = -10 Factor a perfect square on the left side: (q + -2)(q + -2) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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