-5t^2+120t+0=0

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Solution for -5t^2+120t+0=0 equation: 


Simplifying
-5t2 + 120t + 0 = 0

Reorder the terms:
0 + 120t + -5t2 = 0
Remove the zero:
120t + -5t2 = 0

Solving
120t + -5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(24 + -1t) = 0

Ignore the factor 5.

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 '(24 + -1t)' equal to zero and attempt to solve:

Simplifying
24 + -1t = 0

Solving
24 + -1t = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1t = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1t = 0 + -24
-1t = 0 + -24

Combine like terms: 0 + -24 = -24
-1t = -24

Divide each side by '-1'.
t = 24

Simplifying
t = 24
Solution
t = {0, 24}

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