-16t^2+420t=0

Solution for -16t^2+420t=0 equation:

Simplifying
-16t2 + 420t = 0

Reorder the terms:
420t + -16t2 = 0

Solving
420t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(105 + -4t) = 0

Ignore the factor 4.
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 '(105 + -4t)' equal to zero and attempt to solve:

Simplifying
105 + -4t = 0

Solving
105 + -4t = 0

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

Add '-105' to each side of the equation.
105 + -105 + -4t = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -4t = 0 + -105
-4t = 0 + -105

Combine like terms: 0 + -105 = -105
-4t = -105

Divide each side by '-4'.
t = 26.25

Simplifying
t = 26.25
Solution
t = {0, 26.25}