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Simplifying 6t2 = 18t Solving 6t2 = 18t Solving for variable 't'. Reorder the terms: -18t + 6t2 = 18t + -18t Combine like terms: 18t + -18t = 0 -18t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), '6t'. 6t(-3 + t) = 0 Ignore the factor 6.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 '(-3 + t)' equal to zero and attempt to solve: Simplifying -3 + t = 0 Solving -3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + t = 0 + 3 t = 0 + 3 Combine like terms: 0 + 3 = 3 t = 3 Simplifying t = 3Solution
t = {0, 3}
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