F(t)=-16t^2+100t

Solution for F(t)=-16t^2+100t equation:

Simplifying
F(t) = -16t2 + 100t

Multiply F * t
tF = -16t2 + 100t

Reorder the terms:
tF = 100t + -16t2

Solving
tF = 100t + -16t2

Solving for variable 't'.

Reorder the terms:
-100t + tF + 16t2 = 100t + -16t2 + -100t + 16t2

Reorder the terms:
-100t + tF + 16t2 = 100t + -100t + -16t2 + 16t2

Combine like terms: 100t + -100t = 0
-100t + tF + 16t2 = 0 + -16t2 + 16t2
-100t + tF + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-100t + tF + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-100 + F + 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 '(-100 + F + 16t)' equal to zero and attempt to solve:

Simplifying
-100 + F + 16t = 0

Solving
-100 + F + 16t = 0

Move all terms containing t to the left, all other terms to the right.

Add '100' to each side of the equation.
-100 + F + 100 + 16t = 0 + 100

Reorder the terms:
-100 + 100 + F + 16t = 0 + 100

Combine like terms: -100 + 100 = 0
0 + F + 16t = 0 + 100
F + 16t = 0 + 100

Combine like terms: 0 + 100 = 100
F + 16t = 100

Add '-1F' to each side of the equation.
F + -1F + 16t = 100 + -1F

Combine like terms: F + -1F = 0
0 + 16t = 100 + -1F
16t = 100 + -1F

Divide each side by '16'.
t = 6.25 + -0.0625F

Simplifying
t = 6.25 + -0.0625F
Solution
t = {0, 6.25 + -0.0625F}