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 + -1t2) = 0

Factor a difference between two squares.
16t((9 + t)(9 + -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 '(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 + -1t)' equal to zero and attempt to solve:

Simplifying
9 + -1t = 0

Solving
9 + -1t = 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 + -1t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1t = 0 + -9
-1t = 0 + -9

Combine like terms: 0 + -9 = -9
-1t = -9

Divide each side by '-1'.
t = 9

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