x^2+82x+81=0

Solution for x^2+82x+81=0 equation:

Simplifying
x2 + 82x + 81 = 0

Reorder the terms:
81 + 82x + x2 = 0

Solving
81 + 82x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(81 + x)' equal to zero and attempt to solve:

Simplifying
81 + x = 0

Solving
81 + x = 0

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

Add '-81' to each side of the equation.
81 + -81 + x = 0 + -81

Combine like terms: 81 + -81 = 0
0 + x = 0 + -81
x = 0 + -81

Combine like terms: 0 + -81 = -81
x = -81

Simplifying
x = -81
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 = {-81, -1}