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Simplifying 4x2 + -4x + 1 + -13x + 26 = 0 Reorder the terms: 1 + 26 + -4x + -13x + 4x2 = 0 Combine like terms: 1 + 26 = 27 27 + -4x + -13x + 4x2 = 0 Combine like terms: -4x + -13x = -17x 27 + -17x + 4x2 = 0 Solving 27 + -17x + 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'. 6.75 + -4.25x + x2 = 0 Move the constant term to the right: Add '-6.75' to each side of the equation. 6.75 + -4.25x + -6.75 + x2 = 0 + -6.75 Reorder the terms: 6.75 + -6.75 + -4.25x + x2 = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + -4.25x + x2 = 0 + -6.75 -4.25x + x2 = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 -4.25x + x2 = -6.75 The x term is -4.25x. Take half its coefficient (-2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. -4.25x + 4.515625 + x2 = -6.75 + 4.515625 Reorder the terms: 4.515625 + -4.25x + x2 = -6.75 + 4.515625 Combine like terms: -6.75 + 4.515625 = -2.234375 4.515625 + -4.25x + x2 = -2.234375 Factor a perfect square on the left side: (x + -2.125)(x + -2.125) = -2.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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