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Simplifying x2 + 25x + 625 = 0 Reorder the terms: 625 + 25x + x2 = 0 Solving 625 + 25x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-625' to each side of the equation. 625 + 25x + -625 + x2 = 0 + -625 Reorder the terms: 625 + -625 + 25x + x2 = 0 + -625 Combine like terms: 625 + -625 = 0 0 + 25x + x2 = 0 + -625 25x + x2 = 0 + -625 Combine like terms: 0 + -625 = -625 25x + x2 = -625 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 = -625 + 156.25 Reorder the terms: 156.25 + 25x + x2 = -625 + 156.25 Combine like terms: -625 + 156.25 = -468.75 156.25 + 25x + x2 = -468.75 Factor a perfect square on the left side: (x + 12.5)(x + 12.5) = -468.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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