t(-6)(t+8)=0

Solution for t(-6)(t+8)=0 equation:

Simplifying
t(-6)(t + 8) = 0

Reorder the terms:
t * -6(8 + t) = 0

Reorder the terms for easier multiplication:
-6t(8 + t) = 0
(8 * -6t + t * -6t) = 0
(-48t + -6t2) = 0

Solving
-48t + -6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-6t'.
-6t(8 + t) = 0

Ignore the factor -6.
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 '(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 = {0, -8}