0=3t^2+6t

Solution for 0=3t^2+6t equation:

Simplifying
0 = 3t2 + 6t

Reorder the terms:
0 = 6t + 3t2

Solving
0 = 6t + 3t2

Solving for variable 't'.
Remove the zero:
-6t + -3t2 = 6t + 3t2 + -6t + -3t2

Reorder the terms:
-6t + -3t2 = 6t + -6t + 3t2 + -3t2

Combine like terms: 6t + -6t = 0
-6t + -3t2 = 0 + 3t2 + -3t2
-6t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-6t + -3t2 = 0

Factor out the Greatest Common Factor (GCF), '-3t'.
-3t(2 + t) = 0

Ignore the factor -3.
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 '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

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

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

Simplifying
t = -2
Solution
t = {0, -2}