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Simplifying 13x2 + -36x + 35 = 0 Reorder the terms: 35 + -36x + 13x2 = 0 Solving 35 + -36x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 2.692307692 + -2.769230769x + x2 = 0 Move the constant term to the right: Add '-2.692307692' to each side of the equation. 2.692307692 + -2.769230769x + -2.692307692 + x2 = 0 + -2.692307692 Reorder the terms: 2.692307692 + -2.692307692 + -2.769230769x + x2 = 0 + -2.692307692 Combine like terms: 2.692307692 + -2.692307692 = 0.000000000 0.000000000 + -2.769230769x + x2 = 0 + -2.692307692 -2.769230769x + x2 = 0 + -2.692307692 Combine like terms: 0 + -2.692307692 = -2.692307692 -2.769230769x + x2 = -2.692307692 The x term is -2.769230769x. Take half its coefficient (-1.384615385). Square it (1.917159764) and add it to both sides. Add '1.917159764' to each side of the equation. -2.769230769x + 1.917159764 + x2 = -2.692307692 + 1.917159764 Reorder the terms: 1.917159764 + -2.769230769x + x2 = -2.692307692 + 1.917159764 Combine like terms: -2.692307692 + 1.917159764 = -0.775147928 1.917159764 + -2.769230769x + x2 = -0.775147928 Factor a perfect square on the left side: (x + -1.384615385)(x + -1.384615385) = -0.775147928 Can't calculate square root of the right side. The solution to this equation could not be determined.
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