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Simplifying 13x2 + -4x + 29 = 0 Reorder the terms: 29 + -4x + 13x2 = 0 Solving 29 + -4x + 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'. 2.230769231 + -0.3076923077x + x2 = 0 Move the constant term to the right: Add '-2.230769231' to each side of the equation. 2.230769231 + -0.3076923077x + -2.230769231 + x2 = 0 + -2.230769231 Reorder the terms: 2.230769231 + -2.230769231 + -0.3076923077x + x2 = 0 + -2.230769231 Combine like terms: 2.230769231 + -2.230769231 = 0.000000000 0.000000000 + -0.3076923077x + x2 = 0 + -2.230769231 -0.3076923077x + x2 = 0 + -2.230769231 Combine like terms: 0 + -2.230769231 = -2.230769231 -0.3076923077x + x2 = -2.230769231 The x term is -0.3076923077x. Take half its coefficient (-0.1538461539). Square it (0.02366863907) and add it to both sides. Add '0.02366863907' to each side of the equation. -0.3076923077x + 0.02366863907 + x2 = -2.230769231 + 0.02366863907 Reorder the terms: 0.02366863907 + -0.3076923077x + x2 = -2.230769231 + 0.02366863907 Combine like terms: -2.230769231 + 0.02366863907 = -2.20710059193 0.02366863907 + -0.3076923077x + x2 = -2.20710059193 Factor a perfect square on the left side: (x + -0.1538461539)(x + -0.1538461539) = -2.20710059193 Can't calculate square root of the right side. The solution to this equation could not be determined.
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