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Simplifying 800 + -8x + 0.25x2 = 0 Solving 800 + -8x + 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 + -32x + x2 = 0 Move the constant term to the right: Add '-3200' to each side of the equation. 3200 + -32x + -3200 + x2 = 0 + -3200 Reorder the terms: 3200 + -3200 + -32x + x2 = 0 + -3200 Combine like terms: 3200 + -3200 = 0 0 + -32x + x2 = 0 + -3200 -32x + x2 = 0 + -3200 Combine like terms: 0 + -3200 = -3200 -32x + x2 = -3200 The x term is -32x. Take half its coefficient (-16). Square it (256) and add it to both sides. Add '256' to each side of the equation. -32x + 256 + x2 = -3200 + 256 Reorder the terms: 256 + -32x + x2 = -3200 + 256 Combine like terms: -3200 + 256 = -2944 256 + -32x + x2 = -2944 Factor a perfect square on the left side: (x + -16)(x + -16) = -2944 Can't calculate square root of the right side. The solution to this equation could not be determined.
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