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Simplifying 81t2 + -72t + 16 = 0 Reorder the terms: 16 + -72t + 81t2 = 0 Solving 16 + -72t + 81t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -9t)(4 + -9t) = 0Subproblem 1
Set the factor '(4 + -9t)' equal to zero and attempt to solve: Simplifying 4 + -9t = 0 Solving 4 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = 0 + -4 -9t = 0 + -4 Combine like terms: 0 + -4 = -4 -9t = -4 Divide each side by '-9'. t = 0.4444444444 Simplifying t = 0.4444444444Subproblem 2
Set the factor '(4 + -9t)' equal to zero and attempt to solve: Simplifying 4 + -9t = 0 Solving 4 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = 0 + -4 -9t = 0 + -4 Combine like terms: 0 + -4 = -4 -9t = -4 Divide each side by '-9'. t = 0.4444444444 Simplifying t = 0.4444444444Solution
t = {0.4444444444, 0.4444444444}
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