x^2-6x+9=256

Solution for x^2-6x+9=256 equation:

Simplifying
x2 + -6x + 9 = 256

Reorder the terms:
9 + -6x + x2 = 256

Solving
9 + -6x + x2 = 256

Solving for variable 'x'.

Reorder the terms:
9 + -256 + -6x + x2 = 256 + -256

Combine like terms: 9 + -256 = -247
-247 + -6x + x2 = 256 + -256

Combine like terms: 256 + -256 = 0
-247 + -6x + x2 = 0

Factor a trinomial.
(-13 + -1x)(19 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-13, 19}