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Simplifying 13x2 + -1x + 13 = 0 Reorder the terms: 13 + -1x + 13x2 = 0 Solving 13 + -1x + 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 + -0.07692307692x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.07692307692x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.07692307692x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.07692307692x + x2 = 0 + -1 -0.07692307692x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.07692307692x + x2 = -1 The x term is -0.07692307692x. Take half its coefficient (-0.03846153846). Square it (0.001479289941) and add it to both sides. Add '0.001479289941' to each side of the equation. -0.07692307692x + 0.001479289941 + x2 = -1 + 0.001479289941 Reorder the terms: 0.001479289941 + -0.07692307692x + x2 = -1 + 0.001479289941 Combine like terms: -1 + 0.001479289941 = -0.998520710059 0.001479289941 + -0.07692307692x + x2 = -0.998520710059 Factor a perfect square on the left side: (x + -0.03846153846)(x + -0.03846153846) = -0.998520710059 Can't calculate square root of the right side. The solution to this equation could not be determined.
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