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Simplifying (9t + -4)(9t + 4) = 0 Reorder the terms: (-4 + 9t)(9t + 4) = 0 Reorder the terms: (-4 + 9t)(4 + 9t) = 0 Multiply (-4 + 9t) * (4 + 9t) (-4(4 + 9t) + 9t * (4 + 9t)) = 0 ((4 * -4 + 9t * -4) + 9t * (4 + 9t)) = 0 ((-16 + -36t) + 9t * (4 + 9t)) = 0 (-16 + -36t + (4 * 9t + 9t * 9t)) = 0 (-16 + -36t + (36t + 81t2)) = 0 Combine like terms: -36t + 36t = 0 (-16 + 0 + 81t2) = 0 (-16 + 81t2) = 0 Solving -16 + 81t2 = 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 + 81t2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 81t2 = 0 + 16 81t2 = 0 + 16 Combine like terms: 0 + 16 = 16 81t2 = 16 Divide each side by '81'. t2 = 0.1975308642 Simplifying t2 = 0.1975308642 Take the square root of each side: t = {-0.444444444, 0.444444444}
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