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Simplifying 16n2 + 7n + 6 = 0 Reorder the terms: 6 + 7n + 16n2 = 0 Solving 6 + 7n + 16n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.375 + 0.4375n + n2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 0.4375n + -0.375 + n2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 0.4375n + n2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.4375n + n2 = 0 + -0.375 0.4375n + n2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 0.4375n + n2 = -0.375 The n term is 0.4375n. Take half its coefficient (0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. 0.4375n + 0.0478515625 + n2 = -0.375 + 0.0478515625 Reorder the terms: 0.0478515625 + 0.4375n + n2 = -0.375 + 0.0478515625 Combine like terms: -0.375 + 0.0478515625 = -0.3271484375 0.0478515625 + 0.4375n + n2 = -0.3271484375 Factor a perfect square on the left side: (n + 0.21875)(n + 0.21875) = -0.3271484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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