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Simplifying 5n2 + -13n + 24 = 0 Reorder the terms: 24 + -13n + 5n2 = 0 Solving 24 + -13n + 5n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + -2.6n + n2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -2.6n + -4.8 + n2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -2.6n + n2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -2.6n + n2 = 0 + -4.8 -2.6n + n2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -2.6n + n2 = -4.8 The n term is -2.6n. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6n + 1.69 + n2 = -4.8 + 1.69 Reorder the terms: 1.69 + -2.6n + n2 = -4.8 + 1.69 Combine like terms: -4.8 + 1.69 = -3.11 1.69 + -2.6n + n2 = -3.11 Factor a perfect square on the left side: (n + -1.3)(n + -1.3) = -3.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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