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Simplifying n2 + 4n = -29 Reorder the terms: 4n + n2 = -29 Solving 4n + n2 = -29 Solving for variable 'n'. Reorder the terms: 29 + 4n + n2 = -29 + 29 Combine like terms: -29 + 29 = 0 29 + 4n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 4n + -29 + n2 = 0 + -29 Reorder the terms: 29 + -29 + 4n + n2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4n + n2 = 0 + -29 4n + n2 = 0 + -29 Combine like terms: 0 + -29 = -29 4n + n2 = -29 The n term is 4n. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4n + 4 + n2 = -29 + 4 Reorder the terms: 4 + 4n + n2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + 4n + n2 = -25 Factor a perfect square on the left side: (n + 2)(n + 2) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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