=x^2-16x+64

Solution for =x^2-16x+64 equation:

Simplifying
0 = x2 + -16x + 64

Reorder the terms:
0 = 64 + -16x + x2

Solving
0 = 64 + -16x + x2

Solving for variable 'x'.

Combine like terms: 0 + -64 = -64
-64 + 16x + -1x2 = 64 + -16x + x2 + -64 + 16x + -1x2

Reorder the terms:
-64 + 16x + -1x2 = 64 + -64 + -16x + 16x + x2 + -1x2

Combine like terms: 64 + -64 = 0
-64 + 16x + -1x2 = 0 + -16x + 16x + x2 + -1x2
-64 + 16x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
-64 + 16x + -1x2 = 0 + x2 + -1x2
-64 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-64 + 16x + -1x2 = 0

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

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

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

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

Simplifying
x = 8
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {8, 8}