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Simplifying 9n2 + 28n + 25 = 0 Reorder the terms: 25 + 28n + 9n2 = 0 Solving 25 + 28n + 9n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.777777778 + 3.111111111n + n2 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + 3.111111111n + -2.777777778 + n2 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + 3.111111111n + n2 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + 3.111111111n + n2 = 0 + -2.777777778 3.111111111n + n2 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 3.111111111n + n2 = -2.777777778 The n term is 3.111111111n. Take half its coefficient (1.555555556). Square it (2.419753088) and add it to both sides. Add '2.419753088' to each side of the equation. 3.111111111n + 2.419753088 + n2 = -2.777777778 + 2.419753088 Reorder the terms: 2.419753088 + 3.111111111n + n2 = -2.777777778 + 2.419753088 Combine like terms: -2.777777778 + 2.419753088 = -0.35802469 2.419753088 + 3.111111111n + n2 = -0.35802469 Factor a perfect square on the left side: (n + 1.555555556)(n + 1.555555556) = -0.35802469 Can't calculate square root of the right side. The solution to this equation could not be determined.
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