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Simplifying 800 = X(-2X + 1) Reorder the terms: 800 = X(1 + -2X) 800 = (1 * X + -2X * X) 800 = (1X + -2X2) Solving 800 = 1X + -2X2 Solving for variable 'X'. Reorder the terms: 800 + -1X + 2X2 = 1X + -1X + -2X2 + 2X2 Combine like terms: 1X + -1X = 0 800 + -1X + 2X2 = 0 + -2X2 + 2X2 800 + -1X + 2X2 = -2X2 + 2X2 Combine like terms: -2X2 + 2X2 = 0 800 + -1X + 2X2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 400 + -0.5X + X2 = 0 Move the constant term to the right: Add '-400' to each side of the equation. 400 + -0.5X + -400 + X2 = 0 + -400 Reorder the terms: 400 + -400 + -0.5X + X2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -0.5X + X2 = 0 + -400 -0.5X + X2 = 0 + -400 Combine like terms: 0 + -400 = -400 -0.5X + X2 = -400 The X term is -0.5X. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5X + 0.0625 + X2 = -400 + 0.0625 Reorder the terms: 0.0625 + -0.5X + X2 = -400 + 0.0625 Combine like terms: -400 + 0.0625 = -399.9375 0.0625 + -0.5X + X2 = -399.9375 Factor a perfect square on the left side: (X + -0.25)(X + -0.25) = -399.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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