60t+2t^2=0

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

Simplifying
60t + 2t2 = 0

Solving
60t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(30 + t) = 0

Ignore the factor 2.
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 '(30 + t)' equal to zero and attempt to solve:

Simplifying
30 + t = 0

Solving
30 + t = 0

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

Add '-30' to each side of the equation.
30 + -30 + t = 0 + -30

Combine like terms: 30 + -30 = 0
0 + t = 0 + -30
t = 0 + -30

Combine like terms: 0 + -30 = -30
t = -30

Simplifying
t = -30
Solution
t = {0, -30}