x^2+26x+168=255

Solution for x^2+26x+168=255 equation:

Simplifying
x2 + 26x + 168 = 255

Reorder the terms:
168 + 26x + x2 = 255

Solving
168 + 26x + x2 = 255

Solving for variable 'x'.

Reorder the terms:
168 + -255 + 26x + x2 = 255 + -255

Combine like terms: 168 + -255 = -87
-87 + 26x + x2 = 255 + -255

Combine like terms: 255 + -255 = 0
-87 + 26x + x2 = 0

Factor a trinomial.
(-29 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve:

Simplifying
-29 + -1x = 0

Solving
-29 + -1x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -1x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -1x = 0 + 29
-1x = 0 + 29

Combine like terms: 0 + 29 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-29, 3}