-8t(t-1)=0

Solution for -8t(t-1)=0 equation:

Simplifying
-8t(t + -1) = 0

Reorder the terms:
-8t(-1 + t) = 0
(-1 * -8t + t * -8t) = 0
(8t + -8t2) = 0

Solving
8t + -8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8t'.
8t(1 + -1t) = 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 '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 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 + -1t = 0 + -1

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

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

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {0, 1}