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Simplifying -6t2 + 33t = 0 Reorder the terms: 33t + -6t2 = 0 Solving 33t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(11 + -2t) = 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 '(11 + -2t)' equal to zero and attempt to solve: Simplifying 11 + -2t = 0 Solving 11 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2t = 0 + -11 -2t = 0 + -11 Combine like terms: 0 + -11 = -11 -2t = -11 Divide each side by '-2'. t = 5.5 Simplifying t = 5.5Solution
t = {0, 5.5}
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