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Simplifying 13x2 + 16x + 13 = 0 Reorder the terms: 13 + 16x + 13x2 = 0 Solving 13 + 16x + 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 + 1.230769231x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.230769231x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.230769231x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.230769231x + x2 = 0 + -1 1.230769231x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.230769231x + x2 = -1 The x term is 1.230769231x. Take half its coefficient (0.6153846155). Square it (0.3786982250) and add it to both sides. Add '0.3786982250' to each side of the equation. 1.230769231x + 0.3786982250 + x2 = -1 + 0.3786982250 Reorder the terms: 0.3786982250 + 1.230769231x + x2 = -1 + 0.3786982250 Combine like terms: -1 + 0.3786982250 = -0.621301775 0.3786982250 + 1.230769231x + x2 = -0.621301775 Factor a perfect square on the left side: (x + 0.6153846155)(x + 0.6153846155) = -0.621301775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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