128t-t^2=t

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

Simplifying
128t + -1t2 = t

Solving
128t + -1t2 = t

Solving for variable 't'.

Reorder the terms:
128t + -1t + -1t2 = t + -1t

Combine like terms: 128t + -1t = 127t
127t + -1t2 = t + -1t

Combine like terms: t + -1t = 0
127t + -1t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(127 + -1t) = 0

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 '(127 + -1t)' equal to zero and attempt to solve:

Simplifying
127 + -1t = 0

Solving
127 + -1t = 0

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

Add '-127' to each side of the equation.
127 + -127 + -1t = 0 + -127

Combine like terms: 127 + -127 = 0
0 + -1t = 0 + -127
-1t = 0 + -127

Combine like terms: 0 + -127 = -127
-1t = -127

Divide each side by '-1'.
t = 127

Simplifying
t = 127
Solution
t = {0, 127}