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Simplifying -0.5x2 + -12.5x + 25 = 200 Reorder the terms: 25 + -12.5x + -0.5x2 = 200 Solving 25 + -12.5x + -0.5x2 = 200 Solving for variable 'x'. Reorder the terms: 25 + -200 + -12.5x + -0.5x2 = 200 + -200 Combine like terms: 25 + -200 = -175 -175 + -12.5x + -0.5x2 = 200 + -200 Combine like terms: 200 + -200 = 0 -175 + -12.5x + -0.5x2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 350 + 25x + x2 = 0 Move the constant term to the right: Add '-350' to each side of the equation. 350 + 25x + -350 + x2 = 0 + -350 Reorder the terms: 350 + -350 + 25x + x2 = 0 + -350 Combine like terms: 350 + -350 = 0 0 + 25x + x2 = 0 + -350 25x + x2 = 0 + -350 Combine like terms: 0 + -350 = -350 25x + x2 = -350 The x term is 25x. Take half its coefficient (12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. 25x + 156.25 + x2 = -350 + 156.25 Reorder the terms: 156.25 + 25x + x2 = -350 + 156.25 Combine like terms: -350 + 156.25 = -193.75 156.25 + 25x + x2 = -193.75 Factor a perfect square on the left side: (x + 12.5)(x + 12.5) = -193.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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