144t-16t^2=128

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

Simplifying
144t + -16t2 = 128

Solving
144t + -16t2 = 128

Solving for variable 't'.

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

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

Factor out the Greatest Common Factor (GCF), '16'.
16(-8 + 9t + -1t2) = 0

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

Ignore the factor 16.
Subproblem 1
Set the factor '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

Solving
-8 + t = 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 + t = 0 + 8

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

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

Simplifying
t = 8
Subproblem 2
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
Solution
t = {8, 1}