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Simplifying -5000 = x2 + -25x Reorder the terms: -5000 = -25x + x2 Solving -5000 = -25x + x2 Solving for variable 'x'. Reorder the terms: -5000 + 25x + -1x2 = -25x + 25x + x2 + -1x2 Combine like terms: -25x + 25x = 0 -5000 + 25x + -1x2 = 0 + x2 + -1x2 -5000 + 25x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5000 + 25x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5000 + -25x + x2 = 0 Move the constant term to the right: Add '-5000' to each side of the equation. 5000 + -25x + -5000 + x2 = 0 + -5000 Reorder the terms: 5000 + -5000 + -25x + x2 = 0 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -25x + x2 = 0 + -5000 -25x + x2 = 0 + -5000 Combine like terms: 0 + -5000 = -5000 -25x + x2 = -5000 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 = -5000 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -5000 + 156.25 Combine like terms: -5000 + 156.25 = -4843.75 156.25 + -25x + x2 = -4843.75 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = -4843.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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