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Simplifying t = -16t2 + 100t + 0 Reorder the terms: t = 0 + 100t + -16t2 Remove the zero: t = 100t + -16t2 Solving t = 100t + -16t2 Solving for variable 't'. Combine like terms: t + -100t = -99t -99t + 16t2 = 100t + -16t2 + -100t + 16t2 Reorder the terms: -99t + 16t2 = 100t + -100t + -16t2 + 16t2 Combine like terms: 100t + -100t = 0 -99t + 16t2 = 0 + -16t2 + 16t2 -99t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -99t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-99 + 16t) = 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 '(-99 + 16t)' equal to zero and attempt to solve: Simplifying -99 + 16t = 0 Solving -99 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + 16t = 0 + 99 Combine like terms: -99 + 99 = 0 0 + 16t = 0 + 99 16t = 0 + 99 Combine like terms: 0 + 99 = 99 16t = 99 Divide each side by '16'. t = 6.1875 Simplifying t = 6.1875Solution
t = {0, 6.1875}
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