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Simplifying 7n2 + 7n + 10 = 0 Reorder the terms: 10 + 7n + 7n2 = 0 Solving 10 + 7n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + n + n2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + n + -1.428571429 + n2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + n + n2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + n + n2 = 0 + -1.428571429 n + n2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 n + n2 = -1.428571429 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 = -1.428571429 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + n2 = -1.428571429 + 0.25 Combine like terms: -1.428571429 + 0.25 = -1.178571429 1.25 + n2 = -1.178571429 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -1.178571429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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