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Simplifying 25n2 + 9n + 12 = 0 Reorder the terms: 12 + 9n + 25n2 = 0 Solving 12 + 9n + 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'. 0.48 + 0.36n + n2 = 0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + 0.36n + -0.48 + n2 = 0 + -0.48 Reorder the terms: 0.48 + -0.48 + 0.36n + n2 = 0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + 0.36n + n2 = 0 + -0.48 0.36n + n2 = 0 + -0.48 Combine like terms: 0 + -0.48 = -0.48 0.36n + n2 = -0.48 The n term is 0.36n. Take half its coefficient (0.18). Square it (0.0324) and add it to both sides. Add '0.0324' to each side of the equation. 0.36n + 0.0324 + n2 = -0.48 + 0.0324 Reorder the terms: 0.0324 + 0.36n + n2 = -0.48 + 0.0324 Combine like terms: -0.48 + 0.0324 = -0.4476 0.0324 + 0.36n + n2 = -0.4476 Factor a perfect square on the left side: (n + 0.18)(n + 0.18) = -0.4476 Can't calculate square root of the right side. The solution to this equation could not be determined.
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