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Simplifying 400 + q2 = 20q + 100 Reorder the terms: 400 + q2 = 100 + 20q Solving 400 + q2 = 100 + 20q Solving for variable 'q'. Reorder the terms: 400 + -100 + -20q + q2 = 100 + 20q + -100 + -20q Combine like terms: 400 + -100 = 300 300 + -20q + q2 = 100 + 20q + -100 + -20q Reorder the terms: 300 + -20q + q2 = 100 + -100 + 20q + -20q Combine like terms: 100 + -100 = 0 300 + -20q + q2 = 0 + 20q + -20q 300 + -20q + q2 = 20q + -20q Combine like terms: 20q + -20q = 0 300 + -20q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-300' to each side of the equation. 300 + -20q + -300 + q2 = 0 + -300 Reorder the terms: 300 + -300 + -20q + q2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -20q + q2 = 0 + -300 -20q + q2 = 0 + -300 Combine like terms: 0 + -300 = -300 -20q + q2 = -300 The q term is -20q. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20q + 100 + q2 = -300 + 100 Reorder the terms: 100 + -20q + q2 = -300 + 100 Combine like terms: -300 + 100 = -200 100 + -20q + q2 = -200 Factor a perfect square on the left side: (q + -10)(q + -10) = -200 Can't calculate square root of the right side. The solution to this equation could not be determined.
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