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Simplifying 0.125x2 + -5x + 400 = 0 Reorder the terms: 400 + -5x + 0.125x2 = 0 Solving 400 + -5x + 0.125x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.125 the coefficient of the squared term: Divide each side by '0.125'. 3200 + -40x + x2 = 0 Move the constant term to the right: Add '-3200' to each side of the equation. 3200 + -40x + -3200 + x2 = 0 + -3200 Reorder the terms: 3200 + -3200 + -40x + x2 = 0 + -3200 Combine like terms: 3200 + -3200 = 0 0 + -40x + x2 = 0 + -3200 -40x + x2 = 0 + -3200 Combine like terms: 0 + -3200 = -3200 -40x + x2 = -3200 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -3200 + 400 Reorder the terms: 400 + -40x + x2 = -3200 + 400 Combine like terms: -3200 + 400 = -2800 400 + -40x + x2 = -2800 Factor a perfect square on the left side: (x + -20)(x + -20) = -2800 Can't calculate square root of the right side. The solution to this equation could not be determined.
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