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Simplifying 0 = 0.25x2 + -5x + 80 Reorder the terms: 0 = 80 + -5x + 0.25x2 Solving 0 = 80 + -5x + 0.25x2 Solving for variable 'x'. Combine like terms: 0 + -80 = -80 -80 + 5x + -0.25x2 = 80 + -5x + 0.25x2 + -80 + 5x + -0.25x2 Reorder the terms: -80 + 5x + -0.25x2 = 80 + -80 + -5x + 5x + 0.25x2 + -0.25x2 Combine like terms: 80 + -80 = 0 -80 + 5x + -0.25x2 = 0 + -5x + 5x + 0.25x2 + -0.25x2 -80 + 5x + -0.25x2 = -5x + 5x + 0.25x2 + -0.25x2 Combine like terms: -5x + 5x = 0 -80 + 5x + -0.25x2 = 0 + 0.25x2 + -0.25x2 -80 + 5x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -80 + 5x + -0.25x2 = 0.00 Begin completing the square. Divide all terms by -0.25 the coefficient of the squared term: Divide each side by '-0.25'. 320 + -20x + x2 = 0 Move the constant term to the right: Add '-320' to each side of the equation. 320 + -20x + -320 + x2 = 0 + -320 Reorder the terms: 320 + -320 + -20x + x2 = 0 + -320 Combine like terms: 320 + -320 = 0 0 + -20x + x2 = 0 + -320 -20x + x2 = 0 + -320 Combine like terms: 0 + -320 = -320 -20x + x2 = -320 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -320 + 100 Reorder the terms: 100 + -20x + x2 = -320 + 100 Combine like terms: -320 + 100 = -220 100 + -20x + x2 = -220 Factor a perfect square on the left side: (x + -10)(x + -10) = -220 Can't calculate square root of the right side. The solution to this equation could not be determined.
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