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Simplifying t = -16t2 + 128t Reorder the terms: t = 128t + -16t2 Solving t = 128t + -16t2 Solving for variable 't'. Combine like terms: t + -128t = -127t -127t + 16t2 = 128t + -16t2 + -128t + 16t2 Reorder the terms: -127t + 16t2 = 128t + -128t + -16t2 + 16t2 Combine like terms: 128t + -128t = 0 -127t + 16t2 = 0 + -16t2 + 16t2 -127t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -127t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-127 + 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 '(-127 + 16t)' equal to zero and attempt to solve: Simplifying -127 + 16t = 0 Solving -127 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + 16t = 0 + 127 Combine like terms: -127 + 127 = 0 0 + 16t = 0 + 127 16t = 0 + 127 Combine like terms: 0 + 127 = 127 16t = 127 Divide each side by '16'. t = 7.9375 Simplifying t = 7.9375Solution
t = {0, 7.9375}
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