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Simplifying (7x + 1)(7x + -1) = 0 Reorder the terms: (1 + 7x)(7x + -1) = 0 Reorder the terms: (1 + 7x)(-1 + 7x) = 0 Multiply (1 + 7x) * (-1 + 7x) (1(-1 + 7x) + 7x * (-1 + 7x)) = 0 ((-1 * 1 + 7x * 1) + 7x * (-1 + 7x)) = 0 ((-1 + 7x) + 7x * (-1 + 7x)) = 0 (-1 + 7x + (-1 * 7x + 7x * 7x)) = 0 (-1 + 7x + (-7x + 49x2)) = 0 Combine like terms: 7x + -7x = 0 (-1 + 0 + 49x2) = 0 (-1 + 49x2) = 0 Solving -1 + 49x2 = 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 + 49x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 49x2 = 0 + 1 49x2 = 0 + 1 Combine like terms: 0 + 1 = 1 49x2 = 1 Divide each side by '49'. x2 = 0.02040816327 Simplifying x2 = 0.02040816327 Take the square root of each side: x = {-0.142857143, 0.142857143}
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