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Simplifying x2 + -25x = -256 Reorder the terms: -25x + x2 = -256 Solving -25x + x2 = -256 Solving for variable 'x'. Reorder the terms: 256 + -25x + x2 = -256 + 256 Combine like terms: -256 + 256 = 0 256 + -25x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-256' to each side of the equation. 256 + -25x + -256 + x2 = 0 + -256 Reorder the terms: 256 + -256 + -25x + x2 = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -25x + x2 = 0 + -256 -25x + x2 = 0 + -256 Combine like terms: 0 + -256 = -256 -25x + x2 = -256 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 = -256 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -256 + 156.25 Combine like terms: -256 + 156.25 = -99.75 156.25 + -25x + x2 = -99.75 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = -99.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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