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Simplifying 13x2 + 16x + 11 = 0 Reorder the terms: 11 + 16x + 13x2 = 0 Solving 11 + 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'. 0.8461538462 + 1.230769231x + x2 = 0 Move the constant term to the right: Add '-0.8461538462' to each side of the equation. 0.8461538462 + 1.230769231x + -0.8461538462 + x2 = 0 + -0.8461538462 Reorder the terms: 0.8461538462 + -0.8461538462 + 1.230769231x + x2 = 0 + -0.8461538462 Combine like terms: 0.8461538462 + -0.8461538462 = 0.0000000000 0.0000000000 + 1.230769231x + x2 = 0 + -0.8461538462 1.230769231x + x2 = 0 + -0.8461538462 Combine like terms: 0 + -0.8461538462 = -0.8461538462 1.230769231x + x2 = -0.8461538462 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 = -0.8461538462 + 0.3786982250 Reorder the terms: 0.3786982250 + 1.230769231x + x2 = -0.8461538462 + 0.3786982250 Combine like terms: -0.8461538462 + 0.3786982250 = -0.4674556212 0.3786982250 + 1.230769231x + x2 = -0.4674556212 Factor a perfect square on the left side: (x + 0.6153846155)(x + 0.6153846155) = -0.4674556212 Can't calculate square root of the right side. The solution to this equation could not be determined.
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