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Simplifying 0.9Q2 + -2Q + 100 = 0 Reorder the terms: 100 + -2Q + 0.9Q2 = 0 Solving 100 + -2Q + 0.9Q2 = 0 Solving for variable 'Q'. Begin completing the square. Divide all terms by 0.9 the coefficient of the squared term: Divide each side by '0.9'. 111.1111111 + -2.222222222Q + Q2 = 0 Move the constant term to the right: Add '-111.1111111' to each side of the equation. 111.1111111 + -2.222222222Q + -111.1111111 + Q2 = 0 + -111.1111111 Reorder the terms: 111.1111111 + -111.1111111 + -2.222222222Q + Q2 = 0 + -111.1111111 Combine like terms: 111.1111111 + -111.1111111 = 0.0000000 0.0000000 + -2.222222222Q + Q2 = 0 + -111.1111111 -2.222222222Q + Q2 = 0 + -111.1111111 Combine like terms: 0 + -111.1111111 = -111.1111111 -2.222222222Q + Q2 = -111.1111111 The Q term is -2.222222222Q. Take half its coefficient (-1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. -2.222222222Q + 1.234567901 + Q2 = -111.1111111 + 1.234567901 Reorder the terms: 1.234567901 + -2.222222222Q + Q2 = -111.1111111 + 1.234567901 Combine like terms: -111.1111111 + 1.234567901 = -109.876543199 1.234567901 + -2.222222222Q + Q2 = -109.876543199 Factor a perfect square on the left side: (Q + -1.111111111)(Q + -1.111111111) = -109.876543199 Can't calculate square root of the right side. The solution to this equation could not be determined.
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