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Simplifying 3t2 + 2t = 161 Reorder the terms: 2t + 3t2 = 161 Solving 2t + 3t2 = 161 Solving for variable 't'. Reorder the terms: -161 + 2t + 3t2 = 161 + -161 Combine like terms: 161 + -161 = 0 -161 + 2t + 3t2 = 0 Factor a trinomial. (-23 + -3t)(7 + -1t) = 0Subproblem 1
Set the factor '(-23 + -3t)' equal to zero and attempt to solve: Simplifying -23 + -3t = 0 Solving -23 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -3t = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -3t = 0 + 23 -3t = 0 + 23 Combine like terms: 0 + 23 = 23 -3t = 23 Divide each side by '-3'. t = -7.666666667 Simplifying t = -7.666666667Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {-7.666666667, 7}
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