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

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

Simplifying
0 = -16a2 + 64a + -64

Reorder the terms:
0 = -64 + 64a + -16a2

Solving
0 = -64 + 64a + -16a2

Solving for variable 'a'.

Combine like terms: 0 + 64 = 64
64 + -64a + 16a2 = -64 + 64a + -16a2 + 64 + -64a + 16a2

Reorder the terms:
64 + -64a + 16a2 = -64 + 64 + 64a + -64a + -16a2 + 16a2

Combine like terms: -64 + 64 = 0
64 + -64a + 16a2 = 0 + 64a + -64a + -16a2 + 16a2
64 + -64a + 16a2 = 64a + -64a + -16a2 + 16a2

Combine like terms: 64a + -64a = 0
64 + -64a + 16a2 = 0 + -16a2 + 16a2
64 + -64a + 16a2 = -16a2 + 16a2

Combine like terms: -16a2 + 16a2 = 0
64 + -64a + 16a2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + -4a + a2) = 0

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

Ignore the factor 16.
Subproblem 1
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {2, 2}