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Simplifying 9n2 + 40n + 49 = 0 Reorder the terms: 49 + 40n + 9n2 = 0 Solving 49 + 40n + 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'. 5.444444444 + 4.444444444n + n2 = 0 Move the constant term to the right: Add '-5.444444444' to each side of the equation. 5.444444444 + 4.444444444n + -5.444444444 + n2 = 0 + -5.444444444 Reorder the terms: 5.444444444 + -5.444444444 + 4.444444444n + n2 = 0 + -5.444444444 Combine like terms: 5.444444444 + -5.444444444 = 0.000000000 0.000000000 + 4.444444444n + n2 = 0 + -5.444444444 4.444444444n + n2 = 0 + -5.444444444 Combine like terms: 0 + -5.444444444 = -5.444444444 4.444444444n + n2 = -5.444444444 The n term is 4.444444444n. Take half its coefficient (2.222222222). Square it (4.938271604) and add it to both sides. Add '4.938271604' to each side of the equation. 4.444444444n + 4.938271604 + n2 = -5.444444444 + 4.938271604 Reorder the terms: 4.938271604 + 4.444444444n + n2 = -5.444444444 + 4.938271604 Combine like terms: -5.444444444 + 4.938271604 = -0.50617284 4.938271604 + 4.444444444n + n2 = -0.50617284 Factor a perfect square on the left side: (n + 2.222222222)(n + 2.222222222) = -0.50617284 Can't calculate square root of the right side. The solution to this equation could not be determined.
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