x^2+11x+13=3

Solution for x^2+11x+13=3 equation:

Simplifying
x2 + 11x + 13 = 3

Reorder the terms:
13 + 11x + x2 = 3

Solving
13 + 11x + x2 = 3

Solving for variable 'x'.

Reorder the terms:
13 + -3 + 11x + x2 = 3 + -3

Combine like terms: 13 + -3 = 10
10 + 11x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
10 + 11x + x2 = 0

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

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
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 = {-10, -1}