y(t)=13.5t-4.9t^2

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Solution for y(t)=13.5t-4.9t^2 equation: 


Simplifying
y(t) = 13.5t + -4.9t2

Multiply y * t
ty = 13.5t + -4.9t2

Solving
ty = 13.5t + -4.9t2

Solving for variable 't'.

Reorder the terms:
-13.5t + ty + 4.9t2 = 13.5t + -4.9t2 + -13.5t + 4.9t2

Reorder the terms:
-13.5t + ty + 4.9t2 = 13.5t + -13.5t + -4.9t2 + 4.9t2

Combine like terms: 13.5t + -13.5t = 0.0
-13.5t + ty + 4.9t2 = 0.0 + -4.9t2 + 4.9t2
-13.5t + ty + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-13.5t + ty + 4.9t2 = 0.0

Factor out the Greatest Common Factor (GCF), 't'.
t(-13.5 + y + 4.9t) = 0.0


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 '(-13.5 + y + 4.9t)' equal to zero and attempt to solve:

Simplifying
-13.5 + y + 4.9t = 0

Reorder the terms:
-13.5 + 4.9t + y = 0

Solving
-13.5 + 4.9t + y = 0

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

Add '13.5' to each side of the equation.
-13.5 + 4.9t + 13.5 + y = 0 + 13.5

Reorder the terms:
-13.5 + 13.5 + 4.9t + y = 0 + 13.5

Combine like terms: -13.5 + 13.5 = 0.0
0.0 + 4.9t + y = 0 + 13.5
4.9t + y = 0 + 13.5

Combine like terms: 0 + 13.5 = 13.5
4.9t + y = 13.5

Add '-1y' to each side of the equation.
4.9t + y + -1y = 13.5 + -1y

Combine like terms: y + -1y = 0
4.9t + 0 = 13.5 + -1y
4.9t = 13.5 + -1y

Divide each side by '4.9'.
t = 2.755102041 + -0.2040816327y

Simplifying
t = 2.755102041 + -0.2040816327y
Solution
t = {0, 2.755102041 + -0.2040816327y}

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