0=-128+144t-16t^2

Solution for 0=-128+144t-16t^2 equation:

Simplifying
0 = -128 + 144t + -16t2

Solving
0 = -128 + 144t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 128 = 128
128 + -144t + 16t2 = -128 + 144t + -16t2 + 128 + -144t + 16t2

Reorder the terms:
128 + -144t + 16t2 = -128 + 128 + 144t + -144t + -16t2 + 16t2

Combine like terms: -128 + 128 = 0
128 + -144t + 16t2 = 0 + 144t + -144t + -16t2 + 16t2
128 + -144t + 16t2 = 144t + -144t + -16t2 + 16t2

Combine like terms: 144t + -144t = 0
128 + -144t + 16t2 = 0 + -16t2 + 16t2
128 + -144t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
128 + -144t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(8 + -9t + t2) = 0

Factor a trinomial.
16((1 + -1t)(8 + -1t)) = 0

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {1, 8}