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Simplifying t2 = -36 + -13t Solving t2 = -36 + -13t Solving for variable 't'. Reorder the terms: 36 + 13t + t2 = -36 + -13t + 36 + 13t Reorder the terms: 36 + 13t + t2 = -36 + 36 + -13t + 13t Combine like terms: -36 + 36 = 0 36 + 13t + t2 = 0 + -13t + 13t 36 + 13t + t2 = -13t + 13t Combine like terms: -13t + 13t = 0 36 + 13t + t2 = 0 Factor a trinomial. (9 + t)(4 + t) = 0Subproblem 1
Set the factor '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 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 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 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 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Solution
t = {-9, -4}
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