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Simplifying (11x + 1)(11x + -1) = 0 Reorder the terms: (1 + 11x)(11x + -1) = 0 Reorder the terms: (1 + 11x)(-1 + 11x) = 0 Multiply (1 + 11x) * (-1 + 11x) (1(-1 + 11x) + 11x * (-1 + 11x)) = 0 ((-1 * 1 + 11x * 1) + 11x * (-1 + 11x)) = 0 ((-1 + 11x) + 11x * (-1 + 11x)) = 0 (-1 + 11x + (-1 * 11x + 11x * 11x)) = 0 (-1 + 11x + (-11x + 121x2)) = 0 Combine like terms: 11x + -11x = 0 (-1 + 0 + 121x2) = 0 (-1 + 121x2) = 0 Solving -1 + 121x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 121x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 121x2 = 0 + 1 121x2 = 0 + 1 Combine like terms: 0 + 1 = 1 121x2 = 1 Divide each side by '121'. x2 = 0.00826446281 Simplifying x2 = 0.00826446281 Take the square root of each side: x = {-0.090909091, 0.090909091}
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