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Simplifying (2t + -4)(2t + 4) = 0 Reorder the terms: (-4 + 2t)(2t + 4) = 0 Reorder the terms: (-4 + 2t)(4 + 2t) = 0 Multiply (-4 + 2t) * (4 + 2t) (-4(4 + 2t) + 2t * (4 + 2t)) = 0 ((4 * -4 + 2t * -4) + 2t * (4 + 2t)) = 0 ((-16 + -8t) + 2t * (4 + 2t)) = 0 (-16 + -8t + (4 * 2t + 2t * 2t)) = 0 (-16 + -8t + (8t + 4t2)) = 0 Combine like terms: -8t + 8t = 0 (-16 + 0 + 4t2) = 0 (-16 + 4t2) = 0 Solving -16 + 4t2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4t2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4t2 = 0 + 16 4t2 = 0 + 16 Combine like terms: 0 + 16 = 16 4t2 = 16 Divide each side by '4'. t2 = 4 Simplifying t2 = 4 Take the square root of each side: t = {-2, 2}
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