x^2+81x+80=0

Solution for x^2+81x+80=0 equation:

Simplifying
x2 + 81x + 80 = 0

Reorder the terms:
80 + 81x + x2 = 0

Solving
80 + 81x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
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 = {-80, -1}