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Simplifying 29x2 + 98x + 116 = 0 Reorder the terms: 116 + 98x + 29x2 = 0 Solving 116 + 98x + 29x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 29 the coefficient of the squared term: Divide each side by '29'. 4 + 3.379310345x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.379310345x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3.379310345x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.379310345x + x2 = 0 + -4 3.379310345x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.379310345x + x2 = -4 The x term is 3.379310345x. Take half its coefficient (1.689655173). Square it (2.854934604) and add it to both sides. Add '2.854934604' to each side of the equation. 3.379310345x + 2.854934604 + x2 = -4 + 2.854934604 Reorder the terms: 2.854934604 + 3.379310345x + x2 = -4 + 2.854934604 Combine like terms: -4 + 2.854934604 = -1.145065396 2.854934604 + 3.379310345x + x2 = -1.145065396 Factor a perfect square on the left side: (x + 1.689655173)(x + 1.689655173) = -1.145065396 Can't calculate square root of the right side. The solution to this equation could not be determined.
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