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Simplifying q2 + 50q + 90000 = 0 Reorder the terms: 90000 + 50q + q2 = 0 Solving 90000 + 50q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-90000' to each side of the equation. 90000 + 50q + -90000 + q2 = 0 + -90000 Reorder the terms: 90000 + -90000 + 50q + q2 = 0 + -90000 Combine like terms: 90000 + -90000 = 0 0 + 50q + q2 = 0 + -90000 50q + q2 = 0 + -90000 Combine like terms: 0 + -90000 = -90000 50q + q2 = -90000 The q term is 50q. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50q + 625 + q2 = -90000 + 625 Reorder the terms: 625 + 50q + q2 = -90000 + 625 Combine like terms: -90000 + 625 = -89375 625 + 50q + q2 = -89375 Factor a perfect square on the left side: (q + 25)(q + 25) = -89375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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