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Simplifying (8t + -8)(8t + 8) = 0 Reorder the terms: (-8 + 8t)(8t + 8) = 0 Reorder the terms: (-8 + 8t)(8 + 8t) = 0 Multiply (-8 + 8t) * (8 + 8t) (-8(8 + 8t) + 8t * (8 + 8t)) = 0 ((8 * -8 + 8t * -8) + 8t * (8 + 8t)) = 0 ((-64 + -64t) + 8t * (8 + 8t)) = 0 (-64 + -64t + (8 * 8t + 8t * 8t)) = 0 (-64 + -64t + (64t + 64t2)) = 0 Combine like terms: -64t + 64t = 0 (-64 + 0 + 64t2) = 0 (-64 + 64t2) = 0 Solving -64 + 64t2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 64t2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 64t2 = 0 + 64 64t2 = 0 + 64 Combine like terms: 0 + 64 = 64 64t2 = 64 Divide each side by '64'. t2 = 1 Simplifying t2 = 1 Take the square root of each side: t = {-1, 1}
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