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Simplifying 18(x + 1)(x + -1) = 0 Reorder the terms: 18(1 + x)(x + -1) = 0 Reorder the terms: 18(1 + x)(-1 + x) = 0 Multiply (1 + x) * (-1 + x) 18(1(-1 + x) + x(-1 + x)) = 0 18((-1 * 1 + x * 1) + x(-1 + x)) = 0 18((-1 + 1x) + x(-1 + x)) = 0 18(-1 + 1x + (-1 * x + x * x)) = 0 18(-1 + 1x + (-1x + x2)) = 0 Combine like terms: 1x + -1x = 0 18(-1 + 0 + x2) = 0 18(-1 + x2) = 0 (-1 * 18 + x2 * 18) = 0 (-18 + 18x2) = 0 Solving -18 + 18x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18x2 = 0 + 18 18x2 = 0 + 18 Combine like terms: 0 + 18 = 18 18x2 = 18 Divide each side by '18'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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