a^2-8a+64=0

Solution for a^2-8a+64=0 equation:

Simplifying
a2 + -8a + 64 = 0

Reorder the terms:
64 + -8a + a2 = 0

Solving
64 + -8a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -8a + -64 + a2 = 0 + -64

Reorder the terms:
64 + -64 + -8a + a2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -8a + a2 = 0 + -64
-8a + a2 = 0 + -64

Combine like terms: 0 + -64 = -64
-8a + a2 = -64

The a term is -8a.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8a + 16 + a2 = -64 + 16

Reorder the terms:
16 + -8a + a2 = -64 + 16

Combine like terms: -64 + 16 = -48
16 + -8a + a2 = -48

Factor a perfect square on the left side:
(a + -4)(a + -4) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.