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Simplifying (-52x2) + (13x) + -27 = 0 Reorder the terms: -27 + (13x) + (-52x2) = 0 Solving -27 + (13x) + (-52x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -52 the coefficient of the squared term: Divide each side by '-52'. 0.5192307692 + (-0.25x) + x2 = 0 Move the constant term to the right: Add '-0.5192307692' to each side of the equation. 0.5192307692 + (-0.25x) + -0.5192307692 + x2 = 0 + -0.5192307692 Reorder the terms: 0.5192307692 + -0.5192307692 + (-0.25x) + x2 = 0 + -0.5192307692 Combine like terms: 0.5192307692 + -0.5192307692 = 0.0000000000 0.0000000000 + (-0.25x) + x2 = 0 + -0.5192307692 (-0.25x) + x2 = 0 + -0.5192307692 Combine like terms: 0 + -0.5192307692 = -0.5192307692 (-0.25x) + x2 = -0.5192307692 The x term is (-0.25x). Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. (-0.25x) + 0.015625 + x2 = -0.5192307692 + 0.015625 Reorder the terms: 0.015625 + (-0.25x) + x2 = -0.5192307692 + 0.015625 Combine like terms: -0.5192307692 + 0.015625 = -0.5036057692 0.015625 + (-0.25x) + x2 = -0.5036057692 Factor a perfect square on the left side: ((x) + -0.125)((x) + -0.125) = -0.5036057692 Can't calculate square root of the right side. The solution to this equation could not be determined.
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