x^2+86x+825=0

Solution for x^2+86x+825=0 equation:

Simplifying
x2 + 86x + 825 = 0

Reorder the terms:
825 + 86x + x2 = 0

Solving
825 + 86x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(75 + x)(11 + x) = 0

Subproblem 1
Set the factor '(75 + x)' equal to zero and attempt to solve:

Simplifying
75 + x = 0

Solving
75 + x = 0

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

Add '-75' to each side of the equation.
75 + -75 + x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + x = 0 + -75
x = 0 + -75

Combine like terms: 0 + -75 = -75
x = -75

Simplifying
x = -75
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {-75, -11}