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Simplifying x2 + 50x + 1125 = 0 Reorder the terms: 1125 + 50x + x2 = 0 Solving 1125 + 50x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1125' to each side of the equation. 1125 + 50x + -1125 + x2 = 0 + -1125 Reorder the terms: 1125 + -1125 + 50x + x2 = 0 + -1125 Combine like terms: 1125 + -1125 = 0 0 + 50x + x2 = 0 + -1125 50x + x2 = 0 + -1125 Combine like terms: 0 + -1125 = -1125 50x + x2 = -1125 The x term is 50x. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50x + 625 + x2 = -1125 + 625 Reorder the terms: 625 + 50x + x2 = -1125 + 625 Combine like terms: -1125 + 625 = -500 625 + 50x + x2 = -500 Factor a perfect square on the left side: (x + 25)(x + 25) = -500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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