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Simplifying 2x2 + 19x = -174 Reorder the terms: 19x + 2x2 = -174 Solving 19x + 2x2 = -174 Solving for variable 'x'. Reorder the terms: 174 + 19x + 2x2 = -174 + 174 Combine like terms: -174 + 174 = 0 174 + 19x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 87 + 9.5x + x2 = 0 Move the constant term to the right: Add '-87' to each side of the equation. 87 + 9.5x + -87 + x2 = 0 + -87 Reorder the terms: 87 + -87 + 9.5x + x2 = 0 + -87 Combine like terms: 87 + -87 = 0 0 + 9.5x + x2 = 0 + -87 9.5x + x2 = 0 + -87 Combine like terms: 0 + -87 = -87 9.5x + x2 = -87 The x term is 9.5x. Take half its coefficient (4.75). Square it (22.5625) and add it to both sides. Add '22.5625' to each side of the equation. 9.5x + 22.5625 + x2 = -87 + 22.5625 Reorder the terms: 22.5625 + 9.5x + x2 = -87 + 22.5625 Combine like terms: -87 + 22.5625 = -64.4375 22.5625 + 9.5x + x2 = -64.4375 Factor a perfect square on the left side: (x + 4.75)(x + 4.75) = -64.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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