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Simplifying 1439980 = -2.02x2 + 77.85x + 746 Reorder the terms: 1439980 = 746 + 77.85x + -2.02x2 Solving 1439980 = 746 + 77.85x + -2.02x2 Solving for variable 'x'. Combine like terms: 1439980 + -746 = 1439234 1439234 + -77.85x + 2.02x2 = 746 + 77.85x + -2.02x2 + -746 + -77.85x + 2.02x2 Reorder the terms: 1439234 + -77.85x + 2.02x2 = 746 + -746 + 77.85x + -77.85x + -2.02x2 + 2.02x2 Combine like terms: 746 + -746 = 0 1439234 + -77.85x + 2.02x2 = 0 + 77.85x + -77.85x + -2.02x2 + 2.02x2 1439234 + -77.85x + 2.02x2 = 77.85x + -77.85x + -2.02x2 + 2.02x2 Combine like terms: 77.85x + -77.85x = 0.00 1439234 + -77.85x + 2.02x2 = 0.00 + -2.02x2 + 2.02x2 1439234 + -77.85x + 2.02x2 = -2.02x2 + 2.02x2 Combine like terms: -2.02x2 + 2.02x2 = 0.00 1439234 + -77.85x + 2.02x2 = 0.00 Begin completing the square. Divide all terms by 2.02 the coefficient of the squared term: Divide each side by '2.02'. 712492.0792 + -38.53960396x + x2 = 0 Move the constant term to the right: Add '-712492.0792' to each side of the equation. 712492.0792 + -38.53960396x + -712492.0792 + x2 = 0 + -712492.0792 Reorder the terms: 712492.0792 + -712492.0792 + -38.53960396x + x2 = 0 + -712492.0792 Combine like terms: 712492.0792 + -712492.0792 = 0.0000 0.0000 + -38.53960396x + x2 = 0 + -712492.0792 -38.53960396x + x2 = 0 + -712492.0792 Combine like terms: 0 + -712492.0792 = -712492.0792 -38.53960396x + x2 = -712492.0792 The x term is -38.53960396x. Take half its coefficient (-19.26980198). Square it (371.3252683) and add it to both sides. Add '371.3252683' to each side of the equation. -38.53960396x + 371.3252683 + x2 = -712492.0792 + 371.3252683 Reorder the terms: 371.3252683 + -38.53960396x + x2 = -712492.0792 + 371.3252683 Combine like terms: -712492.0792 + 371.3252683 = -712120.7539317 371.3252683 + -38.53960396x + x2 = -712120.7539317 Factor a perfect square on the left side: (x + -19.26980198)(x + -19.26980198) = -712120.7539317 Can't calculate square root of the right side. The solution to this equation could not be determined.
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