0=20t-16t^2

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Solution for 0=20t-16t^2 equation:


Simplifying
0 = 20t + -16t2

Solving
0 = 20t + -16t2

Solving for variable 't'.
Remove the zero:
-20t + 16t2 = 20t + -16t2 + -20t + 16t2

Reorder the terms:
-20t + 16t2 = 20t + -20t + -16t2 + 16t2

Combine like terms: 20t + -20t = 0
-20t + 16t2 = 0 + -16t2 + 16t2
-20t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-20t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-5 + 4t) = 0

Ignore the factor 4.

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 + 4t)' equal to zero and attempt to solve: Simplifying -5 + 4t = 0 Solving -5 + 4t = 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 + 4t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 0 + 5 4t = 0 + 5 Combine like terms: 0 + 5 = 5 4t = 5 Divide each side by '4'. t = 1.25 Simplifying t = 1.25

Solution

t = {0, 1.25}

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