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Simplifying (8x2 + 9x + 65) + (-1x2 + x + -5) = 0 Reorder the terms: (65 + 9x + 8x2) + (-1x2 + x + -5) = 0 Remove parenthesis around (65 + 9x + 8x2) 65 + 9x + 8x2 + (-1x2 + x + -5) = 0 Reorder the terms: 65 + 9x + 8x2 + (-5 + x + -1x2) = 0 Remove parenthesis around (-5 + x + -1x2) 65 + 9x + 8x2 + -5 + x + -1x2 = 0 Reorder the terms: 65 + -5 + 9x + x + 8x2 + -1x2 = 0 Combine like terms: 65 + -5 = 60 60 + 9x + x + 8x2 + -1x2 = 0 Combine like terms: 9x + x = 10x 60 + 10x + 8x2 + -1x2 = 0 Combine like terms: 8x2 + -1x2 = 7x2 60 + 10x + 7x2 = 0 Solving 60 + 10x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 8.571428571 + 1.428571429x + x2 = 0 Move the constant term to the right: Add '-8.571428571' to each side of the equation. 8.571428571 + 1.428571429x + -8.571428571 + x2 = 0 + -8.571428571 Reorder the terms: 8.571428571 + -8.571428571 + 1.428571429x + x2 = 0 + -8.571428571 Combine like terms: 8.571428571 + -8.571428571 = 0.000000000 0.000000000 + 1.428571429x + x2 = 0 + -8.571428571 1.428571429x + x2 = 0 + -8.571428571 Combine like terms: 0 + -8.571428571 = -8.571428571 1.428571429x + x2 = -8.571428571 The x term is 1.428571429x. Take half its coefficient (0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. 1.428571429x + 0.5102040819 + x2 = -8.571428571 + 0.5102040819 Reorder the terms: 0.5102040819 + 1.428571429x + x2 = -8.571428571 + 0.5102040819 Combine like terms: -8.571428571 + 0.5102040819 = -8.0612244891 0.5102040819 + 1.428571429x + x2 = -8.0612244891 Factor a perfect square on the left side: (x + 0.7142857145)(x + 0.7142857145) = -8.0612244891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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