x^2+13x+41=1

Solution for x^2+13x+41=1 equation:

Simplifying
x2 + 13x + 41 = 1

Reorder the terms:
41 + 13x + x2 = 1

Solving
41 + 13x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
41 + -1 + 13x + x2 = 1 + -1

Combine like terms: 41 + -1 = 40
40 + 13x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
40 + 13x + x2 = 0

Factor a trinomial.
(8 + x)(5 + x) = 0

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-8, -5}