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Simplifying 0.1x2 + -20x + 2000 = 0 Reorder the terms: 2000 + -20x + 0.1x2 = 0 Solving 2000 + -20x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 20000 + -200x + x2 = 0 Move the constant term to the right: Add '-20000' to each side of the equation. 20000 + -200x + -20000 + x2 = 0 + -20000 Reorder the terms: 20000 + -20000 + -200x + x2 = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + -200x + x2 = 0 + -20000 -200x + x2 = 0 + -20000 Combine like terms: 0 + -20000 = -20000 -200x + x2 = -20000 The x term is -200x. Take half its coefficient (-100). Square it (10000) and add it to both sides. Add '10000' to each side of the equation. -200x + 10000 + x2 = -20000 + 10000 Reorder the terms: 10000 + -200x + x2 = -20000 + 10000 Combine like terms: -20000 + 10000 = -10000 10000 + -200x + x2 = -10000 Factor a perfect square on the left side: (x + -100)(x + -100) = -10000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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