-x^2+110x-1800=0

Solution for -x^2+110x-1800=0 equation:

Simplifying
-1x2 + 110x + -1800 = 0

Reorder the terms:
-1800 + 110x + -1x2 = 0

Solving
-1800 + 110x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-90 + x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-90 + x)' equal to zero and attempt to solve:

Simplifying
-90 + x = 0

Solving
-90 + x = 0

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

Add '90' to each side of the equation.
-90 + 90 + x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + x = 0 + 90
x = 0 + 90

Combine like terms: 0 + 90 = 90
x = 90

Simplifying
x = 90
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {90, 20}