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Simplifying (t + 9)(t + -9) = 0 Reorder the terms: (9 + t)(t + -9) = 0 Reorder the terms: (9 + t)(-9 + t) = 0 Multiply (9 + t) * (-9 + t) (9(-9 + t) + t(-9 + t)) = 0 ((-9 * 9 + t * 9) + t(-9 + t)) = 0 ((-81 + 9t) + t(-9 + t)) = 0 (-81 + 9t + (-9 * t + t * t)) = 0 (-81 + 9t + (-9t + t2)) = 0 Combine like terms: 9t + -9t = 0 (-81 + 0 + t2) = 0 (-81 + t2) = 0 Solving -81 + t2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + t2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + t2 = 0 + 81 t2 = 0 + 81 Combine like terms: 0 + 81 = 81 t2 = 81 Simplifying t2 = 81 Take the square root of each side: t = {-9, 9}
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