x^2-20x+100=64

Solution for x^2-20x+100=64 equation:

Simplifying
x2 + -20x + 100 = 64

Reorder the terms:
100 + -20x + x2 = 64

Solving
100 + -20x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
100 + -64 + -20x + x2 = 64 + -64

Combine like terms: 100 + -64 = 36
36 + -20x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
36 + -20x + x2 = 0

Factor a trinomial.
(2 + -1x)(18 + -1x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

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

Simplifying
x = 2
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {2, 18}