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Simplifying n2 + -12n + 42 = -9 Reorder the terms: 42 + -12n + n2 = -9 Solving 42 + -12n + n2 = -9 Solving for variable 'n'. Reorder the terms: 42 + 9 + -12n + n2 = -9 + 9 Combine like terms: 42 + 9 = 51 51 + -12n + n2 = -9 + 9 Combine like terms: -9 + 9 = 0 51 + -12n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + -12n + -51 + n2 = 0 + -51 Reorder the terms: 51 + -51 + -12n + n2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -12n + n2 = 0 + -51 -12n + n2 = 0 + -51 Combine like terms: 0 + -51 = -51 -12n + n2 = -51 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 = -51 + 36 Reorder the terms: 36 + -12n + n2 = -51 + 36 Combine like terms: -51 + 36 = -15 36 + -12n + n2 = -15 Factor a perfect square on the left side: (n + -6)(n + -6) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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