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Simplifying 4t2 + 13t + 9 = 0 Reorder the terms: 9 + 13t + 4t2 = 0 Solving 9 + 13t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (9 + 4t)(1 + t) = 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 '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 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 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Solution
t = {-2.25, -1}
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