T(5t+30)=0

Solution for T(5t+30)=0 equation:

Simplifying
T(5t + 30) = 0

Reorder the terms:
T(30 + 5t) = 0
(30 * T + 5t * T) = 0
(30T + 5tT) = 0

Solving
30T + 5tT = 0

Solving for variable 'T'.

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

Factor out the Greatest Common Factor (GCF), '5T'.
5T(6 + t) = 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 '(6 + t)' equal to zero and attempt to solve:

Simplifying
6 + t = 0

Solving
6 + t = 0

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

Add '-6' to each side of the equation.
6 + -6 + t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t = 0 + -6
t = 0 + -6

Combine like terms: 0 + -6 = -6
t = -6

Add '-1t' to each side of the equation.
t + -1t = -6 + -1t

Combine like terms: t + -1t = 0
0 = -6 + -1t

Simplifying
0 = -6 + -1t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
T = {0}