2t(t+11)=0

Solution for 2t(t+11)=0 equation:

Simplifying
2t(t + 11) = 0

Reorder the terms:
2t(11 + t) = 0
(11 * 2t + t * 2t) = 0
(22t + 2t2) = 0

Solving
22t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(11 + 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 '(11 + t)' equal to zero and attempt to solve:

Simplifying
11 + t = 0

Solving
11 + t = 0

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

Add '-11' to each side of the equation.
11 + -11 + t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + t = 0 + -11
t = 0 + -11

Combine like terms: 0 + -11 = -11
t = -11

Simplifying
t = -11
Solution
t = {0, -11}