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Simplifying (6x + 1)(6x + -1) = 0 Reorder the terms: (1 + 6x)(6x + -1) = 0 Reorder the terms: (1 + 6x)(-1 + 6x) = 0 Multiply (1 + 6x) * (-1 + 6x) (1(-1 + 6x) + 6x * (-1 + 6x)) = 0 ((-1 * 1 + 6x * 1) + 6x * (-1 + 6x)) = 0 ((-1 + 6x) + 6x * (-1 + 6x)) = 0 (-1 + 6x + (-1 * 6x + 6x * 6x)) = 0 (-1 + 6x + (-6x + 36x2)) = 0 Combine like terms: 6x + -6x = 0 (-1 + 0 + 36x2) = 0 (-1 + 36x2) = 0 Solving -1 + 36x2 = 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 + 36x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 36x2 = 0 + 1 36x2 = 0 + 1 Combine like terms: 0 + 1 = 1 36x2 = 1 Divide each side by '36'. x2 = 0.02777777778 Simplifying x2 = 0.02777777778 Take the square root of each side: x = {-0.166666667, 0.166666667}
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