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Simplifying 344 = 11x + -4x2 Solving 344 = 11x + -4x2 Solving for variable 'x'. Reorder the terms: 344 + -11x + 4x2 = 11x + -11x + -4x2 + 4x2 Combine like terms: 11x + -11x = 0 344 + -11x + 4x2 = 0 + -4x2 + 4x2 344 + -11x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 344 + -11x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 86 + -2.75x + x2 = 0 Move the constant term to the right: Add '-86' to each side of the equation. 86 + -2.75x + -86 + x2 = 0 + -86 Reorder the terms: 86 + -86 + -2.75x + x2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -2.75x + x2 = 0 + -86 -2.75x + x2 = 0 + -86 Combine like terms: 0 + -86 = -86 -2.75x + x2 = -86 The x term is -2.75x. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75x + 1.890625 + x2 = -86 + 1.890625 Reorder the terms: 1.890625 + -2.75x + x2 = -86 + 1.890625 Combine like terms: -86 + 1.890625 = -84.109375 1.890625 + -2.75x + x2 = -84.109375 Factor a perfect square on the left side: (x + -1.375)(x + -1.375) = -84.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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