-16t^2+1200t=0

Solution for -16t^2+1200t=0 equation:

Simplifying
-16t2 + 1200t = 0

Reorder the terms:
1200t + -16t2 = 0

Solving
1200t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16t'.
16t(75 + -1t) = 0

Ignore the factor 16.
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 '(75 + -1t)' equal to zero and attempt to solve:

Simplifying
75 + -1t = 0

Solving
75 + -1t = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1t = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1t = 0 + -75
-1t = 0 + -75

Combine like terms: 0 + -75 = -75
-1t = -75

Divide each side by '-1'.
t = 75

Simplifying
t = 75
Solution
t = {0, 75}