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Simplifying 98t + -16t2 = 0 Solving 98t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(49 + -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 '(49 + -8t)' equal to zero and attempt to solve: Simplifying 49 + -8t = 0 Solving 49 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -8t = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -8t = 0 + -49 -8t = 0 + -49 Combine like terms: 0 + -49 = -49 -8t = -49 Divide each side by '-8'. t = 6.125 Simplifying t = 6.125Solution
t = {0, 6.125}
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