t=-16t^2+80t

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Solution for t=-16t^2+80t equation:


Simplifying
t = -16t2 + 80t

Reorder the terms:
t = 80t + -16t2

Solving
t = 80t + -16t2

Solving for variable 't'.

Combine like terms: t + -80t = -79t
-79t + 16t2 = 80t + -16t2 + -80t + 16t2

Reorder the terms:
-79t + 16t2 = 80t + -80t + -16t2 + 16t2

Combine like terms: 80t + -80t = 0
-79t + 16t2 = 0 + -16t2 + 16t2
-79t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-79t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-79 + 16t) = 0

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 = 0

Subproblem 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 = 4.9375

Solution

t = {0, 4.9375}

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