x^2+90x+800=0

Solution for x^2+90x+800=0 equation:

Simplifying
x2 + 90x + 800 = 0

Reorder the terms:
800 + 90x + x2 = 0

Solving
800 + 90x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(80 + x)(10 + 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-80, -10}