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Simplifying x2 + -25x + 500 = 0 Reorder the terms: 500 + -25x + x2 = 0 Solving 500 + -25x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-500' to each side of the equation. 500 + -25x + -500 + x2 = 0 + -500 Reorder the terms: 500 + -500 + -25x + x2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -25x + x2 = 0 + -500 -25x + x2 = 0 + -500 Combine like terms: 0 + -500 = -500 -25x + x2 = -500 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 = -500 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -500 + 156.25 Combine like terms: -500 + 156.25 = -343.75 156.25 + -25x + x2 = -343.75 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = -343.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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