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Simplifying 2x2 + 25x + 80 = 0 Reorder the terms: 80 + 25x + 2x2 = 0 Solving 80 + 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'. 40 + 12.5x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + 12.5x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + 12.5x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 12.5x + x2 = 0 + -40 12.5x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 12.5x + x2 = -40 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 = -40 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = -40 + 39.0625 Combine like terms: -40 + 39.0625 = -0.9375 39.0625 + 12.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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