x^2+86x+249=0

Solution for x^2+86x+249=0 equation:

Simplifying
x2 + 86x + 249 = 0

Reorder the terms:
249 + 86x + x2 = 0

Solving
249 + 86x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(83 + x)(3 + x) = 0

Subproblem 1
Set the factor '(83 + x)' equal to zero and attempt to solve:

Simplifying
83 + x = 0

Solving
83 + x = 0

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

Add '-83' to each side of the equation.
83 + -83 + x = 0 + -83

Combine like terms: 83 + -83 = 0
0 + x = 0 + -83
x = 0 + -83

Combine like terms: 0 + -83 = -83
x = -83

Simplifying
x = -83
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-83, -3}