x^2+11x+33=5

Solution for x^2+11x+33=5 equation:

Simplifying
x2 + 11x + 33 = 5

Reorder the terms:
33 + 11x + x2 = 5

Solving
33 + 11x + x2 = 5

Solving for variable 'x'.

Reorder the terms:
33 + -5 + 11x + x2 = 5 + -5

Combine like terms: 33 + -5 = 28
28 + 11x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
28 + 11x + x2 = 0

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

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
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 = {-7, -4}