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Simplifying (r + 1)(r + -1) = 0 Reorder the terms: (1 + r)(r + -1) = 0 Reorder the terms: (1 + r)(-1 + r) = 0 Multiply (1 + r) * (-1 + r) (1(-1 + r) + r(-1 + r)) = 0 ((-1 * 1 + r * 1) + r(-1 + r)) = 0 ((-1 + 1r) + r(-1 + r)) = 0 (-1 + 1r + (-1 * r + r * r)) = 0 (-1 + 1r + (-1r + r2)) = 0 Combine like terms: 1r + -1r = 0 (-1 + 0 + r2) = 0 (-1 + r2) = 0 Solving -1 + r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + r2 = 0 + 1 r2 = 0 + 1 Combine like terms: 0 + 1 = 1 r2 = 1 Simplifying r2 = 1 Take the square root of each side: r = {-1, 1}
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