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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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