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Simplifying 870(t) = 16t2 Solving 870t = 16t2 Solving for variable 't'. Combine like terms: 16t2 + -16t2 = 0 870t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(435 + -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 '(435 + -8t)' equal to zero and attempt to solve: Simplifying 435 + -8t = 0 Solving 435 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-435' to each side of the equation. 435 + -435 + -8t = 0 + -435 Combine like terms: 435 + -435 = 0 0 + -8t = 0 + -435 -8t = 0 + -435 Combine like terms: 0 + -435 = -435 -8t = -435 Divide each side by '-8'. t = 54.375 Simplifying t = 54.375Solution
t = {0, 54.375}
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