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Simplifying (x2 + 5x + -1) + -1(8x2 + -5x + 9) = 0 Reorder the terms: (-1 + 5x + x2) + -1(8x2 + -5x + 9) = 0 Remove parenthesis around (-1 + 5x + x2) -1 + 5x + x2 + -1(8x2 + -5x + 9) = 0 Reorder the terms: -1 + 5x + x2 + -1(9 + -5x + 8x2) = 0 -1 + 5x + x2 + (9 * -1 + -5x * -1 + 8x2 * -1) = 0 -1 + 5x + x2 + (-9 + 5x + -8x2) = 0 Reorder the terms: -1 + -9 + 5x + 5x + x2 + -8x2 = 0 Combine like terms: -1 + -9 = -10 -10 + 5x + 5x + x2 + -8x2 = 0 Combine like terms: 5x + 5x = 10x -10 + 10x + x2 + -8x2 = 0 Combine like terms: x2 + -8x2 = -7x2 -10 + 10x + -7x2 = 0 Solving -10 + 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'. 1.428571429 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -1.428571429x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -1.428571429x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -1.428571429x + x2 = 0 + -1.428571429 -1.428571429x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -1.428571429x + x2 = -1.428571429 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 = -1.428571429 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429x + x2 = -1.428571429 + 0.5102040819 Combine like terms: -1.428571429 + 0.5102040819 = -0.9183673471 0.5102040819 + -1.428571429x + x2 = -0.9183673471 Factor a perfect square on the left side: (x + -0.7142857145)(x + -0.7142857145) = -0.9183673471 Can't calculate square root of the right side. The solution to this equation could not be determined.
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