0=48t-5t^2

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Solution for 0=48t-5t^2 equation: 


Simplifying
0 = 48t + -5t2

Solving
0 = 48t + -5t2

Solving for variable 't'.
Remove the zero:
-48t + 5t2 = 48t + -5t2 + -48t + 5t2

Reorder the terms:
-48t + 5t2 = 48t + -48t + -5t2 + 5t2

Combine like terms: 48t + -48t = 0
-48t + 5t2 = 0 + -5t2 + 5t2
-48t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-48t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-48 + 5t) = 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 '(-48 + 5t)' equal to zero and attempt to solve:

Simplifying
-48 + 5t = 0

Solving
-48 + 5t = 0

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

Add '48' to each side of the equation.
-48 + 48 + 5t = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 5t = 0 + 48
5t = 0 + 48

Combine like terms: 0 + 48 = 48
5t = 48

Divide each side by '5'.
t = 9.6

Simplifying
t = 9.6
Solution
t = {0, 9.6}

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