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Simplifying 25n2 + -24n + 16 = 0 Reorder the terms: 16 + -24n + 25n2 = 0 Solving 16 + -24n + 25n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.64 + -0.96n + n2 = 0 Move the constant term to the right: Add '-0.64' to each side of the equation. 0.64 + -0.96n + -0.64 + n2 = 0 + -0.64 Reorder the terms: 0.64 + -0.64 + -0.96n + n2 = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -0.96n + n2 = 0 + -0.64 -0.96n + n2 = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 -0.96n + n2 = -0.64 The n term is -0.96n. Take half its coefficient (-0.48). Square it (0.2304) and add it to both sides. Add '0.2304' to each side of the equation. -0.96n + 0.2304 + n2 = -0.64 + 0.2304 Reorder the terms: 0.2304 + -0.96n + n2 = -0.64 + 0.2304 Combine like terms: -0.64 + 0.2304 = -0.4096 0.2304 + -0.96n + n2 = -0.4096 Factor a perfect square on the left side: (n + -0.48)(n + -0.48) = -0.4096 Can't calculate square root of the right side. The solution to this equation could not be determined.
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