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Simplifying 1038(t) = 16t2 Solving 1038t = 16t2 Solving for variable 't'. Combine like terms: 16t2 + -16t2 = 0 1038t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(519 + -8t) = 0 Ignore the factor 2.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 '(519 + -8t)' equal to zero and attempt to solve: Simplifying 519 + -8t = 0 Solving 519 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-519' to each side of the equation. 519 + -519 + -8t = 0 + -519 Combine like terms: 519 + -519 = 0 0 + -8t = 0 + -519 -8t = 0 + -519 Combine like terms: 0 + -519 = -519 -8t = -519 Divide each side by '-8'. t = 64.875 Simplifying t = 64.875Solution
t = {0, 64.875}
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