x^2+32x+256=1

Solution for x^2+32x+256=1 equation:

Simplifying
x2 + 32x + 256 = 1

Reorder the terms:
256 + 32x + x2 = 1

Solving
256 + 32x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
256 + -1 + 32x + x2 = 1 + -1

Combine like terms: 256 + -1 = 255
255 + 32x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
255 + 32x + x2 = 0

Factor a trinomial.
(17 + x)(15 + x) = 0

Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {-17, -15}