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Simplifying (7a + -1)(7a + 1) = 0 Reorder the terms: (-1 + 7a)(7a + 1) = 0 Reorder the terms: (-1 + 7a)(1 + 7a) = 0 Multiply (-1 + 7a) * (1 + 7a) (-1(1 + 7a) + 7a * (1 + 7a)) = 0 ((1 * -1 + 7a * -1) + 7a * (1 + 7a)) = 0 ((-1 + -7a) + 7a * (1 + 7a)) = 0 (-1 + -7a + (1 * 7a + 7a * 7a)) = 0 (-1 + -7a + (7a + 49a2)) = 0 Combine like terms: -7a + 7a = 0 (-1 + 0 + 49a2) = 0 (-1 + 49a2) = 0 Solving -1 + 49a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 49a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 49a2 = 0 + 1 49a2 = 0 + 1 Combine like terms: 0 + 1 = 1 49a2 = 1 Divide each side by '49'. a2 = 0.02040816327 Simplifying a2 = 0.02040816327 Take the square root of each side: a = {-0.142857143, 0.142857143}
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