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Simplifying (3x + -1)(3 + -1x) + -4x2 + -19 = 0 Reorder the terms: (-1 + 3x)(3 + -1x) + -4x2 + -19 = 0 Multiply (-1 + 3x) * (3 + -1x) (-1(3 + -1x) + 3x * (3 + -1x)) + -4x2 + -19 = 0 ((3 * -1 + -1x * -1) + 3x * (3 + -1x)) + -4x2 + -19 = 0 ((-3 + 1x) + 3x * (3 + -1x)) + -4x2 + -19 = 0 (-3 + 1x + (3 * 3x + -1x * 3x)) + -4x2 + -19 = 0 (-3 + 1x + (9x + -3x2)) + -4x2 + -19 = 0 Combine like terms: 1x + 9x = 10x (-3 + 10x + -3x2) + -4x2 + -19 = 0 Reorder the terms: -3 + -19 + 10x + -3x2 + -4x2 = 0 Combine like terms: -3 + -19 = -22 -22 + 10x + -3x2 + -4x2 = 0 Combine like terms: -3x2 + -4x2 = -7x2 -22 + 10x + -7x2 = 0 Solving -22 + 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'. 3.142857143 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-3.142857143' to each side of the equation. 3.142857143 + -1.428571429x + -3.142857143 + x2 = 0 + -3.142857143 Reorder the terms: 3.142857143 + -3.142857143 + -1.428571429x + x2 = 0 + -3.142857143 Combine like terms: 3.142857143 + -3.142857143 = 0.000000000 0.000000000 + -1.428571429x + x2 = 0 + -3.142857143 -1.428571429x + x2 = 0 + -3.142857143 Combine like terms: 0 + -3.142857143 = -3.142857143 -1.428571429x + x2 = -3.142857143 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 = -3.142857143 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429x + x2 = -3.142857143 + 0.5102040819 Combine like terms: -3.142857143 + 0.5102040819 = -2.6326530611 0.5102040819 + -1.428571429x + x2 = -2.6326530611 Factor a perfect square on the left side: (x + -0.7142857145)(x + -0.7142857145) = -2.6326530611 Can't calculate square root of the right side. The solution to this equation could not be determined.
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