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Simplifying q2 + -6q + 35 = 0 Reorder the terms: 35 + -6q + q2 = 0 Solving 35 + -6q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + -6q + -35 + q2 = 0 + -35 Reorder the terms: 35 + -35 + -6q + q2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -6q + q2 = 0 + -35 -6q + q2 = 0 + -35 Combine like terms: 0 + -35 = -35 -6q + q2 = -35 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 = -35 + 9 Reorder the terms: 9 + -6q + q2 = -35 + 9 Combine like terms: -35 + 9 = -26 9 + -6q + q2 = -26 Factor a perfect square on the left side: (q + -3)(q + -3) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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