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Simplifying 3n2 + 3n + 310 = 0 Reorder the terms: 310 + 3n + 3n2 = 0 Solving 310 + 3n + 3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 103.3333333 + n + n2 = 0 Move the constant term to the right: Add '-103.3333333' to each side of the equation. 103.3333333 + n + -103.3333333 + n2 = 0 + -103.3333333 Reorder the terms: 103.3333333 + -103.3333333 + n + n2 = 0 + -103.3333333 Combine like terms: 103.3333333 + -103.3333333 = 0.0000000 0.0000000 + n + n2 = 0 + -103.3333333 n + n2 = 0 + -103.3333333 Combine like terms: 0 + -103.3333333 = -103.3333333 n + n2 = -103.3333333 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + n2 = -103.3333333 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + n2 = -103.3333333 + 0.25 Combine like terms: -103.3333333 + 0.25 = -103.0833333 1.25 + n2 = -103.0833333 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -103.0833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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