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Simplifying 0.2x2 + -100x + 16000 = 40 Reorder the terms: 16000 + -100x + 0.2x2 = 40 Solving 16000 + -100x + 0.2x2 = 40 Solving for variable 'x'. Reorder the terms: 16000 + -40 + -100x + 0.2x2 = 40 + -40 Combine like terms: 16000 + -40 = 15960 15960 + -100x + 0.2x2 = 40 + -40 Combine like terms: 40 + -40 = 0 15960 + -100x + 0.2x2 = 0 Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 79800 + -500x + x2 = 0 Move the constant term to the right: Add '-79800' to each side of the equation. 79800 + -500x + -79800 + x2 = 0 + -79800 Reorder the terms: 79800 + -79800 + -500x + x2 = 0 + -79800 Combine like terms: 79800 + -79800 = 0 0 + -500x + x2 = 0 + -79800 -500x + x2 = 0 + -79800 Combine like terms: 0 + -79800 = -79800 -500x + x2 = -79800 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 = -79800 + 62500 Reorder the terms: 62500 + -500x + x2 = -79800 + 62500 Combine like terms: -79800 + 62500 = -17300 62500 + -500x + x2 = -17300 Factor a perfect square on the left side: (x + -250)(x + -250) = -17300 Can't calculate square root of the right side. The solution to this equation could not be determined.
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