0=2t^2+12t

Solution for 0=2t^2+12t equation:

Simplifying
0 = 2t2 + 12t

Reorder the terms:
0 = 12t + 2t2

Solving
0 = 12t + 2t2

Solving for variable 't'.
Remove the zero:
-12t + -2t2 = 12t + 2t2 + -12t + -2t2

Reorder the terms:
-12t + -2t2 = 12t + -12t + 2t2 + -2t2

Combine like terms: 12t + -12t = 0
-12t + -2t2 = 0 + 2t2 + -2t2
-12t + -2t2 = 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
-12t + -2t2 = 0

Factor out the Greatest Common Factor (GCF), '-2t'.
-2t(6 + 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 '(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

Simplifying
t = -6
Solution
t = {0, -6}