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Simplifying 4x2 + -13x + 11 = 0 Reorder the terms: 11 + -13x + 4x2 = 0 Solving 11 + -13x + 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'. 2.75 + -3.25x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -3.25x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -3.25x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -3.25x + x2 = 0 + -2.75 -3.25x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -3.25x + x2 = -2.75 The x term is -3.25x. Take half its coefficient (-1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. -3.25x + 2.640625 + x2 = -2.75 + 2.640625 Reorder the terms: 2.640625 + -3.25x + x2 = -2.75 + 2.640625 Combine like terms: -2.75 + 2.640625 = -0.109375 2.640625 + -3.25x + x2 = -0.109375 Factor a perfect square on the left side: (x + -1.625)(x + -1.625) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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