0=3t^2+36t

Solution for 0=3t^2+36t equation:

Simplifying
0 = 3t2 + 36t

Reorder the terms:
0 = 36t + 3t2

Solving
0 = 36t + 3t2

Solving for variable 't'.
Remove the zero:
-36t + -3t2 = 36t + 3t2 + -36t + -3t2

Reorder the terms:
-36t + -3t2 = 36t + -36t + 3t2 + -3t2

Combine like terms: 36t + -36t = 0
-36t + -3t2 = 0 + 3t2 + -3t2
-36t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-36t + -3t2 = 0

Factor out the Greatest Common Factor (GCF), '-3t'.
-3t(12 + 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 '(12 + t)' equal to zero and attempt to solve:

Simplifying
12 + t = 0

Solving
12 + t = 0

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

Add '-12' to each side of the equation.
12 + -12 + t = 0 + -12

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

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

Simplifying
t = -12
Solution
t = {0, -12}