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Simplifying 272t + -32t2 = 0 Solving 272t + -32t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16t'. 16t(17 + -2t) = 0 Ignore the factor 16.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 '(17 + -2t)' equal to zero and attempt to solve: Simplifying 17 + -2t = 0 Solving 17 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2t = 0 + -17 -2t = 0 + -17 Combine like terms: 0 + -17 = -17 -2t = -17 Divide each side by '-2'. t = 8.5 Simplifying t = 8.5Solution
t = {0, 8.5}
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