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Simplifying 26x2 + 13x + 40 = 0 Reorder the terms: 40 + 13x + 26x2 = 0 Solving 40 + 13x + 26x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 1.538461538 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1.538461538' to each side of the equation. 1.538461538 + 0.5x + -1.538461538 + x2 = 0 + -1.538461538 Reorder the terms: 1.538461538 + -1.538461538 + 0.5x + x2 = 0 + -1.538461538 Combine like terms: 1.538461538 + -1.538461538 = 0.000000000 0.000000000 + 0.5x + x2 = 0 + -1.538461538 0.5x + x2 = 0 + -1.538461538 Combine like terms: 0 + -1.538461538 = -1.538461538 0.5x + x2 = -1.538461538 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -1.538461538 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -1.538461538 + 0.0625 Combine like terms: -1.538461538 + 0.0625 = -1.475961538 0.0625 + 0.5x + x2 = -1.475961538 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -1.475961538 Can't calculate square root of the right side. The solution to this equation could not be determined.
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