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Simplifying q2 + -10q + 35 = 0 Reorder the terms: 35 + -10q + q2 = 0 Solving 35 + -10q + 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 + -10q + -35 + q2 = 0 + -35 Reorder the terms: 35 + -35 + -10q + q2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -10q + q2 = 0 + -35 -10q + q2 = 0 + -35 Combine like terms: 0 + -35 = -35 -10q + q2 = -35 The q term is -10q. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10q + 25 + q2 = -35 + 25 Reorder the terms: 25 + -10q + q2 = -35 + 25 Combine like terms: -35 + 25 = -10 25 + -10q + q2 = -10 Factor a perfect square on the left side: (q + -5)(q + -5) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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