8100=x^2-16x+64

Solution for 8100=x^2-16x+64 equation:

Simplifying
8100 = x2 + -16x + 64

Reorder the terms:
8100 = 64 + -16x + x2

Solving
8100 = 64 + -16x + x2

Solving for variable 'x'.

Combine like terms: 8100 + -64 = 8036
8036 + 16x + -1x2 = 64 + -16x + x2 + -64 + 16x + -1x2

Reorder the terms:
8036 + 16x + -1x2 = 64 + -64 + -16x + 16x + x2 + -1x2

Combine like terms: 64 + -64 = 0
8036 + 16x + -1x2 = 0 + -16x + 16x + x2 + -1x2
8036 + 16x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
8036 + 16x + -1x2 = 0 + x2 + -1x2
8036 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8036 + 16x + -1x2 = 0

Factor a trinomial.
(98 + -1x)(82 + x) = 0

Subproblem 1
Set the factor '(98 + -1x)' equal to zero and attempt to solve:

Simplifying
98 + -1x = 0

Solving
98 + -1x = 0

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

Add '-98' to each side of the equation.
98 + -98 + -1x = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -1x = 0 + -98
-1x = 0 + -98

Combine like terms: 0 + -98 = -98
-1x = -98

Divide each side by '-1'.
x = 98

Simplifying
x = 98
Subproblem 2
Set the factor '(82 + x)' equal to zero and attempt to solve:

Simplifying
82 + x = 0

Solving
82 + x = 0

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

Add '-82' to each side of the equation.
82 + -82 + x = 0 + -82

Combine like terms: 82 + -82 = 0
0 + x = 0 + -82
x = 0 + -82

Combine like terms: 0 + -82 = -82
x = -82

Simplifying
x = -82
Solution
x = {98, -82}