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Simplifying (2x + -17) * x + 59 = 0 Reorder the terms: (-17 + 2x) * x + 59 = 0 Reorder the terms for easier multiplication: x(-17 + 2x) + 59 = 0 (-17 * x + 2x * x) + 59 = 0 (-17x + 2x2) + 59 = 0 Reorder the terms: 59 + -17x + 2x2 = 0 Solving 59 + -17x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 29.5 + -8.5x + x2 = 0 Move the constant term to the right: Add '-29.5' to each side of the equation. 29.5 + -8.5x + -29.5 + x2 = 0 + -29.5 Reorder the terms: 29.5 + -29.5 + -8.5x + x2 = 0 + -29.5 Combine like terms: 29.5 + -29.5 = 0.0 0.0 + -8.5x + x2 = 0 + -29.5 -8.5x + x2 = 0 + -29.5 Combine like terms: 0 + -29.5 = -29.5 -8.5x + x2 = -29.5 The x term is -8.5x. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5x + 18.0625 + x2 = -29.5 + 18.0625 Reorder the terms: 18.0625 + -8.5x + x2 = -29.5 + 18.0625 Combine like terms: -29.5 + 18.0625 = -11.4375 18.0625 + -8.5x + x2 = -11.4375 Factor a perfect square on the left side: (x + -4.25)(x + -4.25) = -11.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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