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Simplifying n2 + 30 = 6n Reorder the terms: 30 + n2 = 6n Solving 30 + n2 = 6n Solving for variable 'n'. Reorder the terms: 30 + -6n + n2 = 6n + -6n Combine like terms: 6n + -6n = 0 30 + -6n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -6n + -30 + n2 = 0 + -30 Reorder the terms: 30 + -30 + -6n + n2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6n + n2 = 0 + -30 -6n + n2 = 0 + -30 Combine like terms: 0 + -30 = -30 -6n + n2 = -30 The n term is -6n. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6n + 9 + n2 = -30 + 9 Reorder the terms: 9 + -6n + n2 = -30 + 9 Combine like terms: -30 + 9 = -21 9 + -6n + n2 = -21 Factor a perfect square on the left side: (n + -3)(n + -3) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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