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Simplifying 13x2 + -6x + 23 = 0 Reorder the terms: 23 + -6x + 13x2 = 0 Solving 23 + -6x + 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'. 1.769230769 + -0.4615384615x + x2 = 0 Move the constant term to the right: Add '-1.769230769' to each side of the equation. 1.769230769 + -0.4615384615x + -1.769230769 + x2 = 0 + -1.769230769 Reorder the terms: 1.769230769 + -1.769230769 + -0.4615384615x + x2 = 0 + -1.769230769 Combine like terms: 1.769230769 + -1.769230769 = 0.000000000 0.000000000 + -0.4615384615x + x2 = 0 + -1.769230769 -0.4615384615x + x2 = 0 + -1.769230769 Combine like terms: 0 + -1.769230769 = -1.769230769 -0.4615384615x + x2 = -1.769230769 The x term is -0.4615384615x. Take half its coefficient (-0.2307692308). Square it (0.05325443788) and add it to both sides. Add '0.05325443788' to each side of the equation. -0.4615384615x + 0.05325443788 + x2 = -1.769230769 + 0.05325443788 Reorder the terms: 0.05325443788 + -0.4615384615x + x2 = -1.769230769 + 0.05325443788 Combine like terms: -1.769230769 + 0.05325443788 = -1.71597633112 0.05325443788 + -0.4615384615x + x2 = -1.71597633112 Factor a perfect square on the left side: (x + -0.2307692308)(x + -0.2307692308) = -1.71597633112 Can't calculate square root of the right side. The solution to this equation could not be determined.
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