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Simplifying 0 = 33t + -5t2 Solving 0 = 33t + -5t2 Solving for variable 't'. Remove the zero: -33t + 5t2 = 33t + -5t2 + -33t + 5t2 Reorder the terms: -33t + 5t2 = 33t + -33t + -5t2 + 5t2 Combine like terms: 33t + -33t = 0 -33t + 5t2 = 0 + -5t2 + 5t2 -33t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -33t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-33 + 5t) = 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 '(-33 + 5t)' equal to zero and attempt to solve: Simplifying -33 + 5t = 0 Solving -33 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 5t = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 5t = 0 + 33 5t = 0 + 33 Combine like terms: 0 + 33 = 33 5t = 33 Divide each side by '5'. t = 6.6 Simplifying t = 6.6Solution
t = {0, 6.6}
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