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Simplifying n2 + 100n + 2510 = 0 Reorder the terms: 2510 + 100n + n2 = 0 Solving 2510 + 100n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-2510' to each side of the equation. 2510 + 100n + -2510 + n2 = 0 + -2510 Reorder the terms: 2510 + -2510 + 100n + n2 = 0 + -2510 Combine like terms: 2510 + -2510 = 0 0 + 100n + n2 = 0 + -2510 100n + n2 = 0 + -2510 Combine like terms: 0 + -2510 = -2510 100n + n2 = -2510 The n term is 100n. Take half its coefficient (50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. 100n + 2500 + n2 = -2510 + 2500 Reorder the terms: 2500 + 100n + n2 = -2510 + 2500 Combine like terms: -2510 + 2500 = -10 2500 + 100n + n2 = -10 Factor a perfect square on the left side: (n + 50)(n + 50) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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