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Simplifying x2 + -50x + 2500 = 0 Reorder the terms: 2500 + -50x + x2 = 0 Solving 2500 + -50x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + -50x + -2500 + x2 = 0 + -2500 Reorder the terms: 2500 + -2500 + -50x + x2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -50x + x2 = 0 + -2500 -50x + x2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 -50x + x2 = -2500 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 = -2500 + 625 Reorder the terms: 625 + -50x + x2 = -2500 + 625 Combine like terms: -2500 + 625 = -1875 625 + -50x + x2 = -1875 Factor a perfect square on the left side: (x + -25)(x + -25) = -1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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