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Simplifying 13x2 + -2x + 1 = 0 Reorder the terms: 1 + -2x + 13x2 = 0 Solving 1 + -2x + 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'. 0.07692307692 + -0.1538461538x + x2 = 0 Move the constant term to the right: Add '-0.07692307692' to each side of the equation. 0.07692307692 + -0.1538461538x + -0.07692307692 + x2 = 0 + -0.07692307692 Reorder the terms: 0.07692307692 + -0.07692307692 + -0.1538461538x + x2 = 0 + -0.07692307692 Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000 0.00000000000 + -0.1538461538x + x2 = 0 + -0.07692307692 -0.1538461538x + x2 = 0 + -0.07692307692 Combine like terms: 0 + -0.07692307692 = -0.07692307692 -0.1538461538x + x2 = -0.07692307692 The x term is -0.1538461538x. Take half its coefficient (-0.0769230769). Square it (0.005917159760) and add it to both sides. Add '0.005917159760' to each side of the equation. -0.1538461538x + 0.005917159760 + x2 = -0.07692307692 + 0.005917159760 Reorder the terms: 0.005917159760 + -0.1538461538x + x2 = -0.07692307692 + 0.005917159760 Combine like terms: -0.07692307692 + 0.005917159760 = -0.07100591716 0.005917159760 + -0.1538461538x + x2 = -0.07100591716 Factor a perfect square on the left side: (x + -0.0769230769)(x + -0.0769230769) = -0.07100591716 Can't calculate square root of the right side. The solution to this equation could not be determined.
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