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Simplifying q2 + 200 = -10q Reorder the terms: 200 + q2 = -10q Solving 200 + q2 = -10q Solving for variable 'q'. Reorder the terms: 200 + 10q + q2 = -10q + 10q Combine like terms: -10q + 10q = 0 200 + 10q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + 10q + -200 + q2 = 0 + -200 Reorder the terms: 200 + -200 + 10q + q2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + 10q + q2 = 0 + -200 10q + q2 = 0 + -200 Combine like terms: 0 + -200 = -200 10q + q2 = -200 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 = -200 + 25 Reorder the terms: 25 + 10q + q2 = -200 + 25 Combine like terms: -200 + 25 = -175 25 + 10q + q2 = -175 Factor a perfect square on the left side: (q + 5)(q + 5) = -175 Can't calculate square root of the right side. The solution to this equation could not be determined.
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