x*x+6x+13=8

Solution for x*x+6x+13=8 equation:

Simplifying
x * x + 6x + 13 = 8

Multiply x * x
x2 + 6x + 13 = 8

Reorder the terms:
13 + 6x + x2 = 8

Solving
13 + 6x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
13 + -8 + 6x + x2 = 8 + -8

Combine like terms: 13 + -8 = 5
5 + 6x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
5 + 6x + x2 = 0

Factor a trinomial.
(5 + x)(1 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-5, -1}