0=-8t(2t-3)

Solution for 0=-8t(2t-3) equation:

Simplifying
0 = -8t(2t + -3)

Reorder the terms:
0 = -8t(-3 + 2t)
0 = (-3 * -8t + 2t * -8t)
0 = (24t + -16t2)

Solving
0 = 24t + -16t2

Solving for variable 't'.
Remove the zero:
-24t + 16t2 = 24t + -16t2 + -24t + 16t2

Reorder the terms:
-24t + 16t2 = 24t + -24t + -16t2 + 16t2

Combine like terms: 24t + -24t = 0
-24t + 16t2 = 0 + -16t2 + 16t2
-24t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-24t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8t'.
8t(-3 + 2t) = 0

Ignore the factor 8.
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}