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Simplifying 8n2 + 16n + 44 = 7 Reorder the terms: 44 + 16n + 8n2 = 7 Solving 44 + 16n + 8n2 = 7 Solving for variable 'n'. Reorder the terms: 44 + -7 + 16n + 8n2 = 7 + -7 Combine like terms: 44 + -7 = 37 37 + 16n + 8n2 = 7 + -7 Combine like terms: 7 + -7 = 0 37 + 16n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.625 + 2n + n2 = 0 Move the constant term to the right: Add '-4.625' to each side of the equation. 4.625 + 2n + -4.625 + n2 = 0 + -4.625 Reorder the terms: 4.625 + -4.625 + 2n + n2 = 0 + -4.625 Combine like terms: 4.625 + -4.625 = 0.000 0.000 + 2n + n2 = 0 + -4.625 2n + n2 = 0 + -4.625 Combine like terms: 0 + -4.625 = -4.625 2n + n2 = -4.625 The n term is 2n. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2n + 1 + n2 = -4.625 + 1 Reorder the terms: 1 + 2n + n2 = -4.625 + 1 Combine like terms: -4.625 + 1 = -3.625 1 + 2n + n2 = -3.625 Factor a perfect square on the left side: (n + 1)(n + 1) = -3.625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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