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Simplifying 2x2 + 13x + 38 = 0 Reorder the terms: 38 + 13x + 2x2 = 0 Solving 38 + 13x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 19 + 6.5x + x2 = 0 Move the constant term to the right: Add '-19' to each side of the equation. 19 + 6.5x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 6.5x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6.5x + x2 = 0 + -19 6.5x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 6.5x + x2 = -19 The x term is 6.5x. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5x + 10.5625 + x2 = -19 + 10.5625 Reorder the terms: 10.5625 + 6.5x + x2 = -19 + 10.5625 Combine like terms: -19 + 10.5625 = -8.4375 10.5625 + 6.5x + x2 = -8.4375 Factor a perfect square on the left side: (x + 3.25)(x + 3.25) = -8.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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