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Simplifying (3t + -4)(3t + 4) = 0 Reorder the terms: (-4 + 3t)(3t + 4) = 0 Reorder the terms: (-4 + 3t)(4 + 3t) = 0 Multiply (-4 + 3t) * (4 + 3t) (-4(4 + 3t) + 3t * (4 + 3t)) = 0 ((4 * -4 + 3t * -4) + 3t * (4 + 3t)) = 0 ((-16 + -12t) + 3t * (4 + 3t)) = 0 (-16 + -12t + (4 * 3t + 3t * 3t)) = 0 (-16 + -12t + (12t + 9t2)) = 0 Combine like terms: -12t + 12t = 0 (-16 + 0 + 9t2) = 0 (-16 + 9t2) = 0 Solving -16 + 9t2 = 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 + 9t2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9t2 = 0 + 16 9t2 = 0 + 16 Combine like terms: 0 + 16 = 16 9t2 = 16 Divide each side by '9'. t2 = 1.777777778 Simplifying t2 = 1.777777778 Take the square root of each side: t = {-1.333333333, 1.333333333}
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