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Simplifying 2x2 + 25x + 100 = 0 Reorder the terms: 100 + 25x + 2x2 = 0 Solving 100 + 25x + 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'. 50 + 12.5x + x2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + 12.5x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + 12.5x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 12.5x + x2 = 0 + -50 12.5x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 12.5x + x2 = -50 The x term is 12.5x. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5x + 39.0625 + x2 = -50 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = -50 + 39.0625 Combine like terms: -50 + 39.0625 = -10.9375 39.0625 + 12.5x + x2 = -10.9375 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = -10.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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