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Simplifying -16t2 + 128t = t Reorder the terms: 128t + -16t2 = t Solving 128t + -16t2 = t Solving for variable 't'. Reorder the terms: 128t + -1t + -16t2 = t + -1t Combine like terms: 128t + -1t = 127t 127t + -16t2 = t + -1t Combine like terms: t + -1t = 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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