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Simplifying -3t3 = -11t2 + -20t Reorder the terms: -3t3 = -20t + -11t2 Solving -3t3 = -20t + -11t2 Solving for variable 't'. Reorder the terms: 20t + 11t2 + -3t3 = -20t + -11t2 + 20t + 11t2 Reorder the terms: 20t + 11t2 + -3t3 = -20t + 20t + -11t2 + 11t2 Combine like terms: -20t + 20t = 0 20t + 11t2 + -3t3 = 0 + -11t2 + 11t2 20t + 11t2 + -3t3 = -11t2 + 11t2 Combine like terms: -11t2 + 11t2 = 0 20t + 11t2 + -3t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(20 + 11t + -3t2) = 0 Factor a trinomial. t((5 + -1t)(4 + 3t)) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 3
Set the factor '(4 + 3t)' equal to zero and attempt to solve: Simplifying 4 + 3t = 0 Solving 4 + 3t = 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 + 3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3t = 0 + -4 3t = 0 + -4 Combine like terms: 0 + -4 = -4 3t = -4 Divide each side by '3'. t = -1.333333333 Simplifying t = -1.333333333Solution
t = {0, 5, -1.333333333}
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