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Simplifying n2 + 12n = -45 Reorder the terms: 12n + n2 = -45 Solving 12n + n2 = -45 Solving for variable 'n'. Reorder the terms: 45 + 12n + n2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + 12n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + 12n + -45 + n2 = 0 + -45 Reorder the terms: 45 + -45 + 12n + n2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 12n + n2 = 0 + -45 12n + n2 = 0 + -45 Combine like terms: 0 + -45 = -45 12n + n2 = -45 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 = -45 + 36 Reorder the terms: 36 + 12n + n2 = -45 + 36 Combine like terms: -45 + 36 = -9 36 + 12n + n2 = -9 Factor a perfect square on the left side: (n + 6)(n + 6) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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