0=80t-16t^2

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Solution for 0=80t-16t^2 equation:


Simplifying
0 = 80t + -16t2

Solving
0 = 80t + -16t2

Solving for variable 't'.
Remove the zero:
-80t + 16t2 = 80t + -16t2 + -80t + 16t2

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

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

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

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-5 + t) = 0

Ignore the factor 16.

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 '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Simplifying t = 5

Solution

t = {0, 5}

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