11(t+11)(t+8)=0

Solution for 11(t+11)(t+8)=0 equation:

Simplifying
11(t + 11)(t + 8) = 0

Reorder the terms:
11(11 + t)(t + 8) = 0

Reorder the terms:
11(11 + t)(8 + t) = 0

Multiply (11 + t) * (8 + t)
11(11(8 + t) + t(8 + t)) = 0
11((8 * 11 + t * 11) + t(8 + t)) = 0
11((88 + 11t) + t(8 + t)) = 0
11(88 + 11t + (8 * t + t * t)) = 0
11(88 + 11t + (8t + t2)) = 0

Combine like terms: 11t + 8t = 19t
11(88 + 19t + t2) = 0
(88 * 11 + 19t * 11 + t2 * 11) = 0
(968 + 209t + 11t2) = 0

Solving
968 + 209t + 11t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '11'.
11(88 + 19t + t2) = 0

Factor a trinomial.
11((11 + t)(8 + t)) = 0

Ignore the factor 11.
Subproblem 1
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
Subproblem 2
Set the factor '(8 + t)' equal to zero and attempt to solve:

Simplifying
8 + t = 0

Solving
8 + t = 0

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

Add '-8' to each side of the equation.
8 + -8 + t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + t = 0 + -8
t = 0 + -8

Combine like terms: 0 + -8 = -8
t = -8

Simplifying
t = -8
Solution
t = {-11, -8}