-6t(2t-3)=0

Solution for -6t(2t-3)=0 equation:

Simplifying
-6t(2t + -3) = 0

Reorder the terms:
-6t(-3 + 2t) = 0
(-3 * -6t + 2t * -6t) = 0
(18t + -12t2) = 0

Solving
18t + -12t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6t'.
6t(3 + -2t) = 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 '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Solution
t = {0, 1.5}