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Simplifying 25000 = 1.25n(12 + -1n) 25000 = (12 * 1.25n + -1n * 1.25n) 25000 = (15n + -1.25n2) Solving 25000 = 15n + -1.25n2 Solving for variable 'n'. Reorder the terms: 25000 + -15n + 1.25n2 = 15n + -15n + -1.25n2 + 1.25n2 Combine like terms: 15n + -15n = 0 25000 + -15n + 1.25n2 = 0 + -1.25n2 + 1.25n2 25000 + -15n + 1.25n2 = -1.25n2 + 1.25n2 Combine like terms: -1.25n2 + 1.25n2 = 0.00 25000 + -15n + 1.25n2 = 0.00 Begin completing the square. Divide all terms by 1.25 the coefficient of the squared term: Divide each side by '1.25'. 20000 + -12n + n2 = 0 Move the constant term to the right: Add '-20000' to each side of the equation. 20000 + -12n + -20000 + n2 = 0 + -20000 Reorder the terms: 20000 + -20000 + -12n + n2 = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + -12n + n2 = 0 + -20000 -12n + n2 = 0 + -20000 Combine like terms: 0 + -20000 = -20000 -12n + n2 = -20000 The n term is -12n. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12n + 36 + n2 = -20000 + 36 Reorder the terms: 36 + -12n + n2 = -20000 + 36 Combine like terms: -20000 + 36 = -19964 36 + -12n + n2 = -19964 Factor a perfect square on the left side: (n + -6)(n + -6) = -19964 Can't calculate square root of the right side. The solution to this equation could not be determined.
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