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Simplifying 25x2 + 131x + 278 = 0 Reorder the terms: 278 + 131x + 25x2 = 0 Solving 278 + 131x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 11.12 + 5.24x + x2 = 0 Move the constant term to the right: Add '-11.12' to each side of the equation. 11.12 + 5.24x + -11.12 + x2 = 0 + -11.12 Reorder the terms: 11.12 + -11.12 + 5.24x + x2 = 0 + -11.12 Combine like terms: 11.12 + -11.12 = 0.00 0.00 + 5.24x + x2 = 0 + -11.12 5.24x + x2 = 0 + -11.12 Combine like terms: 0 + -11.12 = -11.12 5.24x + x2 = -11.12 The x term is 5.24x. Take half its coefficient (2.62). Square it (6.8644) and add it to both sides. Add '6.8644' to each side of the equation. 5.24x + 6.8644 + x2 = -11.12 + 6.8644 Reorder the terms: 6.8644 + 5.24x + x2 = -11.12 + 6.8644 Combine like terms: -11.12 + 6.8644 = -4.2556 6.8644 + 5.24x + x2 = -4.2556 Factor a perfect square on the left side: (x + 2.62)(x + 2.62) = -4.2556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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