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Simplifying n2 + -16n + 94 = 7 Reorder the terms: 94 + -16n + n2 = 7 Solving 94 + -16n + n2 = 7 Solving for variable 'n'. Reorder the terms: 94 + -7 + -16n + n2 = 7 + -7 Combine like terms: 94 + -7 = 87 87 + -16n + n2 = 7 + -7 Combine like terms: 7 + -7 = 0 87 + -16n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-87' to each side of the equation. 87 + -16n + -87 + n2 = 0 + -87 Reorder the terms: 87 + -87 + -16n + n2 = 0 + -87 Combine like terms: 87 + -87 = 0 0 + -16n + n2 = 0 + -87 -16n + n2 = 0 + -87 Combine like terms: 0 + -87 = -87 -16n + n2 = -87 The n term is -16n. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16n + 64 + n2 = -87 + 64 Reorder the terms: 64 + -16n + n2 = -87 + 64 Combine like terms: -87 + 64 = -23 64 + -16n + n2 = -23 Factor a perfect square on the left side: (n + -8)(n + -8) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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