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Simplifying (7t + 5)(7t + -5) = 0 Reorder the terms: (5 + 7t)(7t + -5) = 0 Reorder the terms: (5 + 7t)(-5 + 7t) = 0 Multiply (5 + 7t) * (-5 + 7t) (5(-5 + 7t) + 7t * (-5 + 7t)) = 0 ((-5 * 5 + 7t * 5) + 7t * (-5 + 7t)) = 0 ((-25 + 35t) + 7t * (-5 + 7t)) = 0 (-25 + 35t + (-5 * 7t + 7t * 7t)) = 0 (-25 + 35t + (-35t + 49t2)) = 0 Combine like terms: 35t + -35t = 0 (-25 + 0 + 49t2) = 0 (-25 + 49t2) = 0 Solving -25 + 49t2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 49t2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 49t2 = 0 + 25 49t2 = 0 + 25 Combine like terms: 0 + 25 = 25 49t2 = 25 Divide each side by '49'. t2 = 0.5102040816 Simplifying t2 = 0.5102040816 Take the square root of each side: t = {-0.714285714, 0.714285714}
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