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Simplifying 3t2 = -22t + -40 Reorder the terms: 3t2 = -40 + -22t Solving 3t2 = -40 + -22t Solving for variable 't'. Reorder the terms: 40 + 22t + 3t2 = -40 + -22t + 40 + 22t Reorder the terms: 40 + 22t + 3t2 = -40 + 40 + -22t + 22t Combine like terms: -40 + 40 = 0 40 + 22t + 3t2 = 0 + -22t + 22t 40 + 22t + 3t2 = -22t + 22t Combine like terms: -22t + 22t = 0 40 + 22t + 3t2 = 0 Factor a trinomial. (4 + t)(10 + 3t) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(10 + 3t)' equal to zero and attempt to solve: Simplifying 10 + 3t = 0 Solving 10 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = 0 + -10 3t = 0 + -10 Combine like terms: 0 + -10 = -10 3t = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333Solution
t = {-4, -3.333333333}
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