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Simplifying 2t2 = 27t Solving 2t2 = 27t Solving for variable 't'. Reorder the terms: -27t + 2t2 = 27t + -27t Combine like terms: 27t + -27t = 0 -27t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-27 + 2t) = 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 '(-27 + 2t)' equal to zero and attempt to solve: Simplifying -27 + 2t = 0 Solving -27 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 2t = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2t = 0 + 27 2t = 0 + 27 Combine like terms: 0 + 27 = 27 2t = 27 Divide each side by '2'. t = 13.5 Simplifying t = 13.5Solution
t = {0, 13.5}
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