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Simplifying (n + -1)(n + 1) = 0 Reorder the terms: (-1 + n)(n + 1) = 0 Reorder the terms: (-1 + n)(1 + n) = 0 Multiply (-1 + n) * (1 + n) (-1(1 + n) + n(1 + n)) = 0 ((1 * -1 + n * -1) + n(1 + n)) = 0 ((-1 + -1n) + n(1 + n)) = 0 (-1 + -1n + (1 * n + n * n)) = 0 (-1 + -1n + (1n + n2)) = 0 Combine like terms: -1n + 1n = 0 (-1 + 0 + n2) = 0 (-1 + n2) = 0 Solving -1 + n2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + n2 = 0 + 1 n2 = 0 + 1 Combine like terms: 0 + 1 = 1 n2 = 1 Simplifying n2 = 1 Take the square root of each side: n = {-1, 1}
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