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Simplifying 3t3 + 96t = 36t2 Reorder the terms: 96t + 3t3 = 36t2 Solving 96t + 3t3 = 36t2 Solving for variable 't'. Reorder the terms: 96t + -36t2 + 3t3 = 36t2 + -36t2 Combine like terms: 36t2 + -36t2 = 0 96t + -36t2 + 3t3 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(32 + -12t + t2) = 0 Factor a trinomial. 3t((4 + -1t)(8 + -1t)) = 0 Ignore the factor 3.Subproblem 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 '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Subproblem 3
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 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 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Solution
t = {0, 4, 8}
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