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Simplifying 4x2 + -53x + 448 = 0 Reorder the terms: 448 + -53x + 4x2 = 0 Solving 448 + -53x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 112 + -13.25x + x2 = 0 Move the constant term to the right: Add '-112' to each side of the equation. 112 + -13.25x + -112 + x2 = 0 + -112 Reorder the terms: 112 + -112 + -13.25x + x2 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -13.25x + x2 = 0 + -112 -13.25x + x2 = 0 + -112 Combine like terms: 0 + -112 = -112 -13.25x + x2 = -112 The x term is -13.25x. Take half its coefficient (-6.625). Square it (43.890625) and add it to both sides. Add '43.890625' to each side of the equation. -13.25x + 43.890625 + x2 = -112 + 43.890625 Reorder the terms: 43.890625 + -13.25x + x2 = -112 + 43.890625 Combine like terms: -112 + 43.890625 = -68.109375 43.890625 + -13.25x + x2 = -68.109375 Factor a perfect square on the left side: (x + -6.625)(x + -6.625) = -68.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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