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Simplifying 0.0003q2 + -0.12q + 36 = 0 Reorder the terms: 36 + -0.12q + 0.0003q2 = 0 Solving 36 + -0.12q + 0.0003q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 0.0003 the coefficient of the squared term: Divide each side by '0.0003'. 120000 + -400q + q2 = 0 Move the constant term to the right: Add '-120000' to each side of the equation. 120000 + -400q + -120000 + q2 = 0 + -120000 Reorder the terms: 120000 + -120000 + -400q + q2 = 0 + -120000 Combine like terms: 120000 + -120000 = 0 0 + -400q + q2 = 0 + -120000 -400q + q2 = 0 + -120000 Combine like terms: 0 + -120000 = -120000 -400q + q2 = -120000 The q term is -400q. Take half its coefficient (-200). Square it (40000) and add it to both sides. Add '40000' to each side of the equation. -400q + 40000 + q2 = -120000 + 40000 Reorder the terms: 40000 + -400q + q2 = -120000 + 40000 Combine like terms: -120000 + 40000 = -80000 40000 + -400q + q2 = -80000 Factor a perfect square on the left side: (q + -200)(q + -200) = -80000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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