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Simplifying 8x2 + -26x + 27 = 0 Reorder the terms: 27 + -26x + 8x2 = 0 Solving 27 + -26x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.375 + -3.25x + x2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + -3.25x + -3.375 + x2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + -3.25x + x2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + -3.25x + x2 = 0 + -3.375 -3.25x + x2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 -3.25x + x2 = -3.375 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 = -3.375 + 2.640625 Reorder the terms: 2.640625 + -3.25x + x2 = -3.375 + 2.640625 Combine like terms: -3.375 + 2.640625 = -0.734375 2.640625 + -3.25x + x2 = -0.734375 Factor a perfect square on the left side: (x + -1.625)(x + -1.625) = -0.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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