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Simplifying 0 = 263t + -16t2 Solving 0 = 263t + -16t2 Solving for variable 't'. Remove the zero: -263t + 16t2 = 263t + -16t2 + -263t + 16t2 Reorder the terms: -263t + 16t2 = 263t + -263t + -16t2 + 16t2 Combine like terms: 263t + -263t = 0 -263t + 16t2 = 0 + -16t2 + 16t2 -263t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -263t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-263 + 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 '(-263 + 16t)' equal to zero and attempt to solve: Simplifying -263 + 16t = 0 Solving -263 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '263' to each side of the equation. -263 + 263 + 16t = 0 + 263 Combine like terms: -263 + 263 = 0 0 + 16t = 0 + 263 16t = 0 + 263 Combine like terms: 0 + 263 = 263 16t = 263 Divide each side by '16'. t = 16.4375 Simplifying t = 16.4375Solution
t = {0, 16.4375}
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