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Simplifying 2x2 + -37x + 174 = 0 Reorder the terms: 174 + -37x + 2x2 = 0 Solving 174 + -37x + 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'. 87 + -18.5x + x2 = 0 Move the constant term to the right: Add '-87' to each side of the equation. 87 + -18.5x + -87 + x2 = 0 + -87 Reorder the terms: 87 + -87 + -18.5x + x2 = 0 + -87 Combine like terms: 87 + -87 = 0 0 + -18.5x + x2 = 0 + -87 -18.5x + x2 = 0 + -87 Combine like terms: 0 + -87 = -87 -18.5x + x2 = -87 The x term is -18.5x. Take half its coefficient (-9.25). Square it (85.5625) and add it to both sides. Add '85.5625' to each side of the equation. -18.5x + 85.5625 + x2 = -87 + 85.5625 Reorder the terms: 85.5625 + -18.5x + x2 = -87 + 85.5625 Combine like terms: -87 + 85.5625 = -1.4375 85.5625 + -18.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + -9.25)(x + -9.25) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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