x^2+13x+41=5

Solution for x^2+13x+41=5 equation:

Simplifying
x2 + 13x + 41 = 5

Reorder the terms:
41 + 13x + x2 = 5

Solving
41 + 13x + x2 = 5

Solving for variable 'x'.

Reorder the terms:
41 + -5 + 13x + x2 = 5 + -5

Combine like terms: 41 + -5 = 36
36 + 13x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
36 + 13x + x2 = 0

Factor a trinomial.
(9 + x)(4 + x) = 0

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-9, -4}