-16t^2+102t=0

Solution for -16t^2+102t=0 equation:

Simplifying
-16t2 + 102t = 0

Reorder the terms:
102t + -16t2 = 0

Solving
102t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(51 + -8t) = 0

Ignore the factor 2.
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 '(51 + -8t)' equal to zero and attempt to solve:

Simplifying
51 + -8t = 0

Solving
51 + -8t = 0

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

Add '-51' to each side of the equation.
51 + -51 + -8t = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -8t = 0 + -51
-8t = 0 + -51

Combine like terms: 0 + -51 = -51
-8t = -51

Divide each side by '-8'.
t = 6.375

Simplifying
t = 6.375
Solution
t = {0, 6.375}