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Simplifying 80t + -16t2 = t Solving 80t + -16t2 = t Solving for variable 't'. Reorder the terms: 80t + -1t + -16t2 = t + -1t Combine like terms: 80t + -1t = 79t 79t + -16t2 = t + -1t Combine like terms: t + -1t = 0 79t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(79 + -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 '(79 + -16t)' equal to zero and attempt to solve: Simplifying 79 + -16t = 0 Solving 79 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + -16t = 0 + -79 Combine like terms: 79 + -79 = 0 0 + -16t = 0 + -79 -16t = 0 + -79 Combine like terms: 0 + -79 = -79 -16t = -79 Divide each side by '-16'. t = 4.9375 Simplifying t = 4.9375Solution
t = {0, 4.9375}
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