x^2-16x+64=400

Solution for x^2-16x+64=400 equation:

Simplifying
x2 + -16x + 64 = 400

Reorder the terms:
64 + -16x + x2 = 400

Solving
64 + -16x + x2 = 400

Solving for variable 'x'.

Reorder the terms:
64 + -400 + -16x + x2 = 400 + -400

Combine like terms: 64 + -400 = -336
-336 + -16x + x2 = 400 + -400

Combine like terms: 400 + -400 = 0
-336 + -16x + x2 = 0

Factor a trinomial.
(-12 + -1x)(28 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Solution
x = {-12, 28}