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Simplifying -1(16t2 + -72t + 81) = 0 Reorder the terms: -1(81 + -72t + 16t2) = 0 (81 * -1 + -72t * -1 + 16t2 * -1) = 0 (-81 + 72t + -16t2) = 0 Solving -81 + 72t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + 4t)(9 + -4t) = 0Subproblem 1
Set the factor '(-9 + 4t)' equal to zero and attempt to solve: Simplifying -9 + 4t = 0 Solving -9 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4t = 0 + 9 4t = 0 + 9 Combine like terms: 0 + 9 = 9 4t = 9 Divide each side by '4'. t = 2.25 Simplifying t = 2.25Subproblem 2
Set the factor '(9 + -4t)' equal to zero and attempt to solve: Simplifying 9 + -4t = 0 Solving 9 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4t = 0 + -9 -4t = 0 + -9 Combine like terms: 0 + -9 = -9 -4t = -9 Divide each side by '-4'. t = 2.25 Simplifying t = 2.25Solution
t = {2.25, 2.25}
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