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Simplifying (9t + -5)(9t + 5) = 0 Reorder the terms: (-5 + 9t)(9t + 5) = 0 Reorder the terms: (-5 + 9t)(5 + 9t) = 0 Multiply (-5 + 9t) * (5 + 9t) (-5(5 + 9t) + 9t * (5 + 9t)) = 0 ((5 * -5 + 9t * -5) + 9t * (5 + 9t)) = 0 ((-25 + -45t) + 9t * (5 + 9t)) = 0 (-25 + -45t + (5 * 9t + 9t * 9t)) = 0 (-25 + -45t + (45t + 81t2)) = 0 Combine like terms: -45t + 45t = 0 (-25 + 0 + 81t2) = 0 (-25 + 81t2) = 0 Solving -25 + 81t2 = 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 + 81t2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 81t2 = 0 + 25 81t2 = 0 + 25 Combine like terms: 0 + 25 = 25 81t2 = 25 Divide each side by '81'. t2 = 0.3086419753 Simplifying t2 = 0.3086419753 Take the square root of each side: t = {-0.555555556, 0.555555556}
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