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Simplifying 3t2 + -22t + -80 = 0 Reorder the terms: -80 + -22t + 3t2 = 0 Solving -80 + -22t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -3t)(10 + -1t) = 0Subproblem 1
Set the factor '(-8 + -3t)' equal to zero and attempt to solve: Simplifying -8 + -3t = 0 Solving -8 + -3t = 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 + -3t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3t = 0 + 8 -3t = 0 + 8 Combine like terms: 0 + 8 = 8 -3t = 8 Divide each side by '-3'. t = -2.666666667 Simplifying t = -2.666666667Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 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 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Solution
t = {-2.666666667, 10}
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