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Simplifying 1411780 = -2.06x2 + 77.84x + 748 Reorder the terms: 1411780 = 748 + 77.84x + -2.06x2 Solving 1411780 = 748 + 77.84x + -2.06x2 Solving for variable 'x'. Combine like terms: 1411780 + -748 = 1411032 1411032 + -77.84x + 2.06x2 = 748 + 77.84x + -2.06x2 + -748 + -77.84x + 2.06x2 Reorder the terms: 1411032 + -77.84x + 2.06x2 = 748 + -748 + 77.84x + -77.84x + -2.06x2 + 2.06x2 Combine like terms: 748 + -748 = 0 1411032 + -77.84x + 2.06x2 = 0 + 77.84x + -77.84x + -2.06x2 + 2.06x2 1411032 + -77.84x + 2.06x2 = 77.84x + -77.84x + -2.06x2 + 2.06x2 Combine like terms: 77.84x + -77.84x = 0.00 1411032 + -77.84x + 2.06x2 = 0.00 + -2.06x2 + 2.06x2 1411032 + -77.84x + 2.06x2 = -2.06x2 + 2.06x2 Combine like terms: -2.06x2 + 2.06x2 = 0.00 1411032 + -77.84x + 2.06x2 = 0.00 Begin completing the square. Divide all terms by 2.06 the coefficient of the squared term: Divide each side by '2.06'. 684966.9903 + -37.78640777x + x2 = 0 Move the constant term to the right: Add '-684966.9903' to each side of the equation. 684966.9903 + -37.78640777x + -684966.9903 + x2 = 0 + -684966.9903 Reorder the terms: 684966.9903 + -684966.9903 + -37.78640777x + x2 = 0 + -684966.9903 Combine like terms: 684966.9903 + -684966.9903 = 0.0000 0.0000 + -37.78640777x + x2 = 0 + -684966.9903 -37.78640777x + x2 = 0 + -684966.9903 Combine like terms: 0 + -684966.9903 = -684966.9903 -37.78640777x + x2 = -684966.9903 The x term is -37.78640777x. Take half its coefficient (-18.89320389). Square it (356.9531532) and add it to both sides. Add '356.9531532' to each side of the equation. -37.78640777x + 356.9531532 + x2 = -684966.9903 + 356.9531532 Reorder the terms: 356.9531532 + -37.78640777x + x2 = -684966.9903 + 356.9531532 Combine like terms: -684966.9903 + 356.9531532 = -684610.0371468 356.9531532 + -37.78640777x + x2 = -684610.0371468 Factor a perfect square on the left side: (x + -18.89320389)(x + -18.89320389) = -684610.0371468 Can't calculate square root of the right side. The solution to this equation could not be determined.
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