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Simplifying t2 = -24 + -11t Solving t2 = -24 + -11t Solving for variable 't'. Reorder the terms: 24 + 11t + t2 = -24 + -11t + 24 + 11t Reorder the terms: 24 + 11t + t2 = -24 + 24 + -11t + 11t Combine like terms: -24 + 24 = 0 24 + 11t + t2 = 0 + -11t + 11t 24 + 11t + t2 = -11t + 11t Combine like terms: -11t + 11t = 0 24 + 11t + t2 = 0 Factor a trinomial. (8 + t)(3 + t) = 0Subproblem 1
Set the factor '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {-8, -3}
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