-16t^2+120t=s(t)

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Solution for -16t^2+120t=s(t) equation: 


Simplifying
-16t2 + 120t = s(t)

Reorder the terms:
120t + -16t2 = s(t)

Multiply s * t
120t + -16t2 = st

Solving
120t + -16t2 = st

Solving for variable 't'.

Reorder the terms:
-1st + 120t + -16t2 = st + -1st

Combine like terms: st + -1st = 0
-1st + 120t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-1s + 120 + -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 '(-1s + 120 + -16t)' equal to zero and attempt to solve:

Simplifying
-1s + 120 + -16t = 0

Reorder the terms:
120 + -1s + -16t = 0

Solving
120 + -1s + -16t = 0

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

Add '-120' to each side of the equation.
120 + -1s + -120 + -16t = 0 + -120

Reorder the terms:
120 + -120 + -1s + -16t = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -1s + -16t = 0 + -120
-1s + -16t = 0 + -120

Combine like terms: 0 + -120 = -120
-1s + -16t = -120

Add 's' to each side of the equation.
-1s + s + -16t = -120 + s

Combine like terms: -1s + s = 0
0 + -16t = -120 + s
-16t = -120 + s

Divide each side by '-16'.
t = 7.5 + -0.0625s

Simplifying
t = 7.5 + -0.0625s
Solution
t = {0, 7.5 + -0.0625s}

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