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Simplifying 3n2 + -24n + 49 = 0 Reorder the terms: 49 + -24n + 3n2 = 0 Solving 49 + -24n + 3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16.33333333 + -8n + n2 = 0 Move the constant term to the right: Add '-16.33333333' to each side of the equation. 16.33333333 + -8n + -16.33333333 + n2 = 0 + -16.33333333 Reorder the terms: 16.33333333 + -16.33333333 + -8n + n2 = 0 + -16.33333333 Combine like terms: 16.33333333 + -16.33333333 = 0.00000000 0.00000000 + -8n + n2 = 0 + -16.33333333 -8n + n2 = 0 + -16.33333333 Combine like terms: 0 + -16.33333333 = -16.33333333 -8n + n2 = -16.33333333 The n term is -8n. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8n + 16 + n2 = -16.33333333 + 16 Reorder the terms: 16 + -8n + n2 = -16.33333333 + 16 Combine like terms: -16.33333333 + 16 = -0.33333333 16 + -8n + n2 = -0.33333333 Factor a perfect square on the left side: (n + -4)(n + -4) = -0.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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