18t^2+3t=0

Solution for 18t^2+3t=0 equation:

Simplifying
18t2 + 3t = 0

Reorder the terms:
3t + 18t2 = 0

Solving
3t + 18t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(1 + 6t) = 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 '(1 + 6t)' equal to zero and attempt to solve:

Simplifying
1 + 6t = 0

Solving
1 + 6t = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6t = 0 + -1
6t = 0 + -1

Combine like terms: 0 + -1 = -1
6t = -1

Divide each side by '6'.
t = -0.1666666667

Simplifying
t = -0.1666666667
Solution
t = {0, -0.1666666667}