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Simplifying x2 = 25x + -2000 Reorder the terms: x2 = -2000 + 25x Solving x2 = -2000 + 25x Solving for variable 'x'. Reorder the terms: 2000 + -25x + x2 = -2000 + 25x + 2000 + -25x Reorder the terms: 2000 + -25x + x2 = -2000 + 2000 + 25x + -25x Combine like terms: -2000 + 2000 = 0 2000 + -25x + x2 = 0 + 25x + -25x 2000 + -25x + x2 = 25x + -25x Combine like terms: 25x + -25x = 0 2000 + -25x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2000' to each side of the equation. 2000 + -25x + -2000 + x2 = 0 + -2000 Reorder the terms: 2000 + -2000 + -25x + x2 = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -25x + x2 = 0 + -2000 -25x + x2 = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -25x + x2 = -2000 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 = -2000 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -2000 + 156.25 Combine like terms: -2000 + 156.25 = -1843.75 156.25 + -25x + x2 = -1843.75 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = -1843.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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