0=-16t^2+64t-64

Solution for 0=-16t^2+64t-64 equation:

Simplifying
0 = -16t2 + 64t + -64

Reorder the terms:
0 = -64 + 64t + -16t2

Solving
0 = -64 + 64t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 64 = 64
64 + -64t + 16t2 = -64 + 64t + -16t2 + 64 + -64t + 16t2

Reorder the terms:
64 + -64t + 16t2 = -64 + 64 + 64t + -64t + -16t2 + 16t2

Combine like terms: -64 + 64 = 0
64 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
64 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
64 + -64t + 16t2 = 0 + -16t2 + 16t2
64 + -64t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
64 + -64t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + -4t + t2) = 0

Factor a trinomial.
16((2 + -1t)(2 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

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

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {2, 2}