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Simplifying (7t + -1)(7t + 1) = 0 Reorder the terms: (-1 + 7t)(7t + 1) = 0 Reorder the terms: (-1 + 7t)(1 + 7t) = 0 Multiply (-1 + 7t) * (1 + 7t) (-1(1 + 7t) + 7t * (1 + 7t)) = 0 ((1 * -1 + 7t * -1) + 7t * (1 + 7t)) = 0 ((-1 + -7t) + 7t * (1 + 7t)) = 0 (-1 + -7t + (1 * 7t + 7t * 7t)) = 0 (-1 + -7t + (7t + 49t2)) = 0 Combine like terms: -7t + 7t = 0 (-1 + 0 + 49t2) = 0 (-1 + 49t2) = 0 Solving -1 + 49t2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 49t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 49t2 = 0 + 1 49t2 = 0 + 1 Combine like terms: 0 + 1 = 1 49t2 = 1 Divide each side by '49'. t2 = 0.02040816327 Simplifying t2 = 0.02040816327 Take the square root of each side: t = {-0.142857143, 0.142857143}
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