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Simplifying 0.56x2 + -3.2x + 708.28 = 702 Reorder the terms: 708.28 + -3.2x + 0.56x2 = 702 Solving 708.28 + -3.2x + 0.56x2 = 702 Solving for variable 'x'. Reorder the terms: 708.28 + -702 + -3.2x + 0.56x2 = 702 + -702 Combine like terms: 708.28 + -702 = 6.28 6.28 + -3.2x + 0.56x2 = 702 + -702 Combine like terms: 702 + -702 = 0 6.28 + -3.2x + 0.56x2 = 0 Begin completing the square. Divide all terms by 0.56 the coefficient of the squared term: Divide each side by '0.56'. 11.21428571 + -5.714285714x + x2 = 0 Move the constant term to the right: Add '-11.21428571' to each side of the equation. 11.21428571 + -5.714285714x + -11.21428571 + x2 = 0 + -11.21428571 Reorder the terms: 11.21428571 + -11.21428571 + -5.714285714x + x2 = 0 + -11.21428571 Combine like terms: 11.21428571 + -11.21428571 = 0.00000000 0.00000000 + -5.714285714x + x2 = 0 + -11.21428571 -5.714285714x + x2 = 0 + -11.21428571 Combine like terms: 0 + -11.21428571 = -11.21428571 -5.714285714x + x2 = -11.21428571 The x term is -5.714285714x. Take half its coefficient (-2.857142857). Square it (8.163265305) and add it to both sides. Add '8.163265305' to each side of the equation. -5.714285714x + 8.163265305 + x2 = -11.21428571 + 8.163265305 Reorder the terms: 8.163265305 + -5.714285714x + x2 = -11.21428571 + 8.163265305 Combine like terms: -11.21428571 + 8.163265305 = -3.051020405 8.163265305 + -5.714285714x + x2 = -3.051020405 Factor a perfect square on the left side: (x + -2.857142857)(x + -2.857142857) = -3.051020405 Can't calculate square root of the right side. The solution to this equation could not be determined.
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