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Simplifying 5t2 + 33t + 40 = 0 Reorder the terms: 40 + 33t + 5t2 = 0 Solving 40 + 33t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + t)(8 + 5t) = 0Subproblem 1
Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Subproblem 2
Set the factor '(8 + 5t)' equal to zero and attempt to solve: Simplifying 8 + 5t = 0 Solving 8 + 5t = 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 + 5t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5t = 0 + -8 5t = 0 + -8 Combine like terms: 0 + -8 = -8 5t = -8 Divide each side by '5'. t = -1.6 Simplifying t = -1.6Solution
t = {-5, -1.6}
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