-5t^2+60t=0

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Solution for -5t^2+60t=0 equation: 


Simplifying
-5t2 + 60t = 0

Reorder the terms:
60t + -5t2 = 0

Solving
60t + -5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(12 + -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 '(12 + -1t)' equal to zero and attempt to solve:

Simplifying
12 + -1t = 0

Solving
12 + -1t = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1t = 0 + -12
-1t = 0 + -12

Combine like terms: 0 + -12 = -12
-1t = -12

Divide each side by '-1'.
t = 12

Simplifying
t = 12
Solution
t = {0, 12}

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