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Simplifying (3x + 1)(3x + -1) = 0 Reorder the terms: (1 + 3x)(3x + -1) = 0 Reorder the terms: (1 + 3x)(-1 + 3x) = 0 Multiply (1 + 3x) * (-1 + 3x) (1(-1 + 3x) + 3x * (-1 + 3x)) = 0 ((-1 * 1 + 3x * 1) + 3x * (-1 + 3x)) = 0 ((-1 + 3x) + 3x * (-1 + 3x)) = 0 (-1 + 3x + (-1 * 3x + 3x * 3x)) = 0 (-1 + 3x + (-3x + 9x2)) = 0 Combine like terms: 3x + -3x = 0 (-1 + 0 + 9x2) = 0 (-1 + 9x2) = 0 Solving -1 + 9x2 = 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 + 9x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9x2 = 0 + 1 9x2 = 0 + 1 Combine like terms: 0 + 1 = 1 9x2 = 1 Divide each side by '9'. x2 = 0.1111111111 Simplifying x2 = 0.1111111111 Take the square root of each side: x = {-0.333333333, 0.333333333}
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