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Simplifying 8.08 = -11402x2 + 766.68x + -6.6669 Reorder the terms: 8.08 = -6.6669 + 766.68x + -11402x2 Solving 8.08 = -6.6669 + 766.68x + -11402x2 Solving for variable 'x'. Combine like terms: 8.08 + 6.6669 = 14.7469 14.7469 + -766.68x + 11402x2 = -6.6669 + 766.68x + -11402x2 + 6.6669 + -766.68x + 11402x2 Reorder the terms: 14.7469 + -766.68x + 11402x2 = -6.6669 + 6.6669 + 766.68x + -766.68x + -11402x2 + 11402x2 Combine like terms: -6.6669 + 6.6669 = 0.0000 14.7469 + -766.68x + 11402x2 = 0.0000 + 766.68x + -766.68x + -11402x2 + 11402x2 14.7469 + -766.68x + 11402x2 = 766.68x + -766.68x + -11402x2 + 11402x2 Combine like terms: 766.68x + -766.68x = 0.00 14.7469 + -766.68x + 11402x2 = 0.00 + -11402x2 + 11402x2 14.7469 + -766.68x + 11402x2 = -11402x2 + 11402x2 Combine like terms: -11402x2 + 11402x2 = 0 14.7469 + -766.68x + 11402x2 = 0 Begin completing the square. Divide all terms by 11402 the coefficient of the squared term: Divide each side by '11402'. 0.001293360814 + -0.06724083494x + x2 = 0 Move the constant term to the right: Add '-0.001293360814' to each side of the equation. 0.001293360814 + -0.06724083494x + -0.001293360814 + x2 = 0 + -0.001293360814 Reorder the terms: 0.001293360814 + -0.001293360814 + -0.06724083494x + x2 = 0 + -0.001293360814 Combine like terms: 0.001293360814 + -0.001293360814 = 0.000000000000 0.000000000000 + -0.06724083494x + x2 = 0 + -0.001293360814 -0.06724083494x + x2 = 0 + -0.001293360814 Combine like terms: 0 + -0.001293360814 = -0.001293360814 -0.06724083494x + x2 = -0.001293360814 The x term is -0.06724083494x. Take half its coefficient (-0.03362041747). Square it (0.001130332471) and add it to both sides. Add '0.001130332471' to each side of the equation. -0.06724083494x + 0.001130332471 + x2 = -0.001293360814 + 0.001130332471 Reorder the terms: 0.001130332471 + -0.06724083494x + x2 = -0.001293360814 + 0.001130332471 Combine like terms: -0.001293360814 + 0.001130332471 = -0.000163028343 0.001130332471 + -0.06724083494x + x2 = -0.000163028343 Factor a perfect square on the left side: (x + -0.03362041747)(x + -0.03362041747) = -0.000163028343 Can't calculate square root of the right side. The solution to this equation could not be determined.
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