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Simplifying 400t + -16t2 + 18t = 0 Reorder the terms: 400t + 18t + -16t2 = 0 Combine like terms: 400t + 18t = 418t 418t + -16t2 = 0 Solving 418t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(209 + -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 '(209 + -8t)' equal to zero and attempt to solve: Simplifying 209 + -8t = 0 Solving 209 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-209' to each side of the equation. 209 + -209 + -8t = 0 + -209 Combine like terms: 209 + -209 = 0 0 + -8t = 0 + -209 -8t = 0 + -209 Combine like terms: 0 + -209 = -209 -8t = -209 Divide each side by '-8'. t = 26.125 Simplifying t = 26.125Solution
t = {0, 26.125}
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