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Simplifying -7x2 + 20x + -32 = 0 Reorder the terms: -32 + 20x + -7x2 = 0 Solving -32 + 20x + -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'. 4.571428571 + -2.857142857x + x2 = 0 Move the constant term to the right: Add '-4.571428571' to each side of the equation. 4.571428571 + -2.857142857x + -4.571428571 + x2 = 0 + -4.571428571 Reorder the terms: 4.571428571 + -4.571428571 + -2.857142857x + x2 = 0 + -4.571428571 Combine like terms: 4.571428571 + -4.571428571 = 0.000000000 0.000000000 + -2.857142857x + x2 = 0 + -4.571428571 -2.857142857x + x2 = 0 + -4.571428571 Combine like terms: 0 + -4.571428571 = -4.571428571 -2.857142857x + x2 = -4.571428571 The x term is -2.857142857x. Take half its coefficient (-1.428571429). Square it (2.040816328) and add it to both sides. Add '2.040816328' to each side of the equation. -2.857142857x + 2.040816328 + x2 = -4.571428571 + 2.040816328 Reorder the terms: 2.040816328 + -2.857142857x + x2 = -4.571428571 + 2.040816328 Combine like terms: -4.571428571 + 2.040816328 = -2.530612243 2.040816328 + -2.857142857x + x2 = -2.530612243 Factor a perfect square on the left side: (x + -1.428571429)(x + -1.428571429) = -2.530612243 Can't calculate square root of the right side. The solution to this equation could not be determined.
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