y(t)=-16t^2+66.4t

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Solution for y(t)=-16t^2+66.4t equation: 


Simplifying
y(t) = -16t2 + 66.4t

Multiply y * t
ty = -16t2 + 66.4t

Reorder the terms:
ty = 66.4t + -16t2

Solving
ty = 66.4t + -16t2

Solving for variable 't'.

Reorder the terms:
-66.4t + ty + 16t2 = 66.4t + -16t2 + -66.4t + 16t2

Reorder the terms:
-66.4t + ty + 16t2 = 66.4t + -66.4t + -16t2 + 16t2

Combine like terms: 66.4t + -66.4t = 0.0
-66.4t + ty + 16t2 = 0.0 + -16t2 + 16t2
-66.4t + ty + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-66.4t + ty + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-66.4 + y + 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 '(-66.4 + y + 16t)' equal to zero and attempt to solve:

Simplifying
-66.4 + y + 16t = 0

Reorder the terms:
-66.4 + 16t + y = 0

Solving
-66.4 + 16t + y = 0

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

Add '66.4' to each side of the equation.
-66.4 + 16t + 66.4 + y = 0 + 66.4

Reorder the terms:
-66.4 + 66.4 + 16t + y = 0 + 66.4

Combine like terms: -66.4 + 66.4 = 0.0
0.0 + 16t + y = 0 + 66.4
16t + y = 0 + 66.4

Combine like terms: 0 + 66.4 = 66.4
16t + y = 66.4

Add '-1y' to each side of the equation.
16t + y + -1y = 66.4 + -1y

Combine like terms: y + -1y = 0
16t + 0 = 66.4 + -1y
16t = 66.4 + -1y

Divide each side by '16'.
t = 4.15 + -0.0625y

Simplifying
t = 4.15 + -0.0625y
Solution
t = {0, 4.15 + -0.0625y}

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