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Simplifying 0.05q2 + 4q + 150 = 0 Reorder the terms: 150 + 4q + 0.05q2 = 0 Solving 150 + 4q + 0.05q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 0.05 the coefficient of the squared term: Divide each side by '0.05'. 3000 + 80q + q2 = 0 Move the constant term to the right: Add '-3000' to each side of the equation. 3000 + 80q + -3000 + q2 = 0 + -3000 Reorder the terms: 3000 + -3000 + 80q + q2 = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + 80q + q2 = 0 + -3000 80q + q2 = 0 + -3000 Combine like terms: 0 + -3000 = -3000 80q + q2 = -3000 The q term is 80q. Take half its coefficient (40). Square it (1600) and add it to both sides. Add '1600' to each side of the equation. 80q + 1600 + q2 = -3000 + 1600 Reorder the terms: 1600 + 80q + q2 = -3000 + 1600 Combine like terms: -3000 + 1600 = -1400 1600 + 80q + q2 = -1400 Factor a perfect square on the left side: (q + 40)(q + 40) = -1400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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