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Simplifying 0.25x2 + -20x + 800 = 0 Reorder the terms: 800 + -20x + 0.25x2 = 0 Solving 800 + -20x + 0.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 3200 + -80x + x2 = 0 Move the constant term to the right: Add '-3200' to each side of the equation. 3200 + -80x + -3200 + x2 = 0 + -3200 Reorder the terms: 3200 + -3200 + -80x + x2 = 0 + -3200 Combine like terms: 3200 + -3200 = 0 0 + -80x + x2 = 0 + -3200 -80x + x2 = 0 + -3200 Combine like terms: 0 + -3200 = -3200 -80x + x2 = -3200 The x term is -80x. Take half its coefficient (-40). Square it (1600) and add it to both sides. Add '1600' to each side of the equation. -80x + 1600 + x2 = -3200 + 1600 Reorder the terms: 1600 + -80x + x2 = -3200 + 1600 Combine like terms: -3200 + 1600 = -1600 1600 + -80x + x2 = -1600 Factor a perfect square on the left side: (x + -40)(x + -40) = -1600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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