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Simplifying N2 + -7N + 18 = 0 Reorder the terms: 18 + -7N + N2 = 0 Solving 18 + -7N + N2 = 0 Solving for variable 'N'. Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -7N + -18 + N2 = 0 + -18 Reorder the terms: 18 + -18 + -7N + N2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7N + N2 = 0 + -18 -7N + N2 = 0 + -18 Combine like terms: 0 + -18 = -18 -7N + N2 = -18 The N term is -7N. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7N + 12.25 + N2 = -18 + 12.25 Reorder the terms: 12.25 + -7N + N2 = -18 + 12.25 Combine like terms: -18 + 12.25 = -5.75 12.25 + -7N + N2 = -5.75 Factor a perfect square on the left side: (N + -3.5)(N + -3.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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