540t=16t^2

Solution for 540t=16t^2 equation:

Simplifying
540t = 16t2

Solving
540t = 16t2

Solving for variable 't'.

Combine like terms: 16t2 + -16t2 = 0
540t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(135 + -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 '(135 + -4t)' equal to zero and attempt to solve:

Simplifying
135 + -4t = 0

Solving
135 + -4t = 0

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

Add '-135' to each side of the equation.
135 + -135 + -4t = 0 + -135

Combine like terms: 135 + -135 = 0
0 + -4t = 0 + -135
-4t = 0 + -135

Combine like terms: 0 + -135 = -135
-4t = -135

Divide each side by '-4'.
t = 33.75

Simplifying
t = 33.75
Solution
t = {0, 33.75}