0=-16t(t-9)(t+9)

Solution for 0=-16t(t-9)(t+9) equation:

Simplifying
0 = -16t(t + -9)(t + 9)

Reorder the terms:
0 = -16t(-9 + t)(t + 9)

Reorder the terms:
0 = -16t(-9 + t)(9 + t)

Multiply (-9 + t) * (9 + t)
0 = -16t(-9(9 + t) + t(9 + t))
0 = -16t((9 * -9 + t * -9) + t(9 + t))
0 = -16t((-81 + -9t) + t(9 + t))
0 = -16t(-81 + -9t + (9 * t + t * t))
0 = -16t(-81 + -9t + (9t + t2))

Combine like terms: -9t + 9t = 0
0 = -16t(-81 + 0 + t2)
0 = -16t(-81 + t2)
0 = (-81 * -16t + t2 * -16t)
0 = (1296t + -16t3)

Solving
0 = 1296t + -16t3

Solving for variable 't'.
Remove the zero:
-1296t + 16t3 = 1296t + -16t3 + -1296t + 16t3

Reorder the terms:
-1296t + 16t3 = 1296t + -1296t + -16t3 + 16t3

Combine like terms: 1296t + -1296t = 0
-1296t + 16t3 = 0 + -16t3 + 16t3
-1296t + 16t3 = -16t3 + 16t3

Combine like terms: -16t3 + 16t3 = 0
-1296t + 16t3 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-81 + t2) = 0

Factor a difference between two squares.
16t((9 + t)(-9 + t)) = 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 '(9 + t)' equal to zero and attempt to solve:

Simplifying
9 + t = 0

Solving
9 + t = 0

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

Add '-9' to each side of the equation.
9 + -9 + t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + t = 0 + -9
t = 0 + -9

Combine like terms: 0 + -9 = -9
t = -9

Simplifying
t = -9
Subproblem 3
Set the factor '(-9 + t)' equal to zero and attempt to solve:

Simplifying
-9 + t = 0

Solving
-9 + t = 0

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

Add '9' to each side of the equation.
-9 + 9 + t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + t = 0 + 9
t = 0 + 9

Combine like terms: 0 + 9 = 9
t = 9

Simplifying
t = 9
Solution
t = {0, -9, 9}