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Simplifying 9t2 + 4 = 13t Reorder the terms: 4 + 9t2 = 13t Solving 4 + 9t2 = 13t Solving for variable 't'. Reorder the terms: 4 + -13t + 9t2 = 13t + -13t Combine like terms: 13t + -13t = 0 4 + -13t + 9t2 = 0 Factor a trinomial. (4 + -9t)(1 + -1t) = 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 '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {0.4444444444, 1}
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