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Simplifying 0 = 98t + -32t2 Solving 0 = 98t + -32t2 Solving for variable 't'. Remove the zero: -98t + 32t2 = 98t + -32t2 + -98t + 32t2 Reorder the terms: -98t + 32t2 = 98t + -98t + -32t2 + 32t2 Combine like terms: 98t + -98t = 0 -98t + 32t2 = 0 + -32t2 + 32t2 -98t + 32t2 = -32t2 + 32t2 Combine like terms: -32t2 + 32t2 = 0 -98t + 32t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-49 + 16t) = 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 + 16t)' equal to zero and attempt to solve: Simplifying -49 + 16t = 0 Solving -49 + 16t = 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 + 16t = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 16t = 0 + 49 16t = 0 + 49 Combine like terms: 0 + 49 = 49 16t = 49 Divide each side by '16'. t = 3.0625 Simplifying t = 3.0625Solution
t = {0, 3.0625}
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