0=O^2+81O-810

Solution for 0=O^2+81O-810 equation:

Simplifying
0 = O2 + 81O + -810

Reorder the terms:
0 = -810 + 81O + O2

Solving
0 = -810 + 81O + O2

Solving for variable 'O'.

Combine like terms: 0 + 810 = 810
810 + -81O + -1O2 = -810 + 81O + O2 + 810 + -81O + -1O2

Reorder the terms:
810 + -81O + -1O2 = -810 + 810 + 81O + -81O + O2 + -1O2

Combine like terms: -810 + 810 = 0
810 + -81O + -1O2 = 0 + 81O + -81O + O2 + -1O2
810 + -81O + -1O2 = 81O + -81O + O2 + -1O2

Combine like terms: 81O + -81O = 0
810 + -81O + -1O2 = 0 + O2 + -1O2
810 + -81O + -1O2 = O2 + -1O2

Combine like terms: O2 + -1O2 = 0
810 + -81O + -1O2 = 0

Factor a trinomial.
(9 + -1O)(90 + O) = 0

Subproblem 1
Set the factor '(9 + -1O)' equal to zero and attempt to solve:

Simplifying
9 + -1O = 0

Solving
9 + -1O = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1O = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1O = 0 + -9
-1O = 0 + -9

Combine like terms: 0 + -9 = -9
-1O = -9

Divide each side by '-1'.
O = 9

Simplifying
O = 9
Subproblem 2
Set the factor '(90 + O)' equal to zero and attempt to solve:

Simplifying
90 + O = 0

Solving
90 + O = 0

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

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

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

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

Simplifying
O = -90
Solution
O = {9, -90}