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Simplifying 0.2x2 + -100x + 16000 = 0 Reorder the terms: 16000 + -100x + 0.2x2 = 0 Solving 16000 + -100x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 80000 + -500x + x2 = 0 Move the constant term to the right: Add '-80000' to each side of the equation. 80000 + -500x + -80000 + x2 = 0 + -80000 Reorder the terms: 80000 + -80000 + -500x + x2 = 0 + -80000 Combine like terms: 80000 + -80000 = 0 0 + -500x + x2 = 0 + -80000 -500x + x2 = 0 + -80000 Combine like terms: 0 + -80000 = -80000 -500x + x2 = -80000 The x term is -500x. Take half its coefficient (-250). Square it (62500) and add it to both sides. Add '62500' to each side of the equation. -500x + 62500 + x2 = -80000 + 62500 Reorder the terms: 62500 + -500x + x2 = -80000 + 62500 Combine like terms: -80000 + 62500 = -17500 62500 + -500x + x2 = -17500 Factor a perfect square on the left side: (x + -250)(x + -250) = -17500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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