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Simplifying 3t3 + -9t2 + -1134t = 0 Reorder the terms: -1134t + -9t2 + 3t3 = 0 Solving -1134t + -9t2 + 3t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(-378 + -3t + t2) = 0 Factor a trinomial. 3t((-18 + -1t)(21 + -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 '(-18 + -1t)' equal to zero and attempt to solve: Simplifying -18 + -1t = 0 Solving -18 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1t = 0 + 18 -1t = 0 + 18 Combine like terms: 0 + 18 = 18 -1t = 18 Divide each side by '-1'. t = -18 Simplifying t = -18Subproblem 3
Set the factor '(21 + -1t)' equal to zero and attempt to solve: Simplifying 21 + -1t = 0 Solving 21 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = 0 + -21 -1t = 0 + -21 Combine like terms: 0 + -21 = -21 -1t = -21 Divide each side by '-1'. t = 21 Simplifying t = 21Solution
t = {0, -18, 21}
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