0=x^2-18x-9720

Solution for 0=x^2-18x-9720 equation:

Simplifying
0 = x2 + -18x + -9720

Reorder the terms:
0 = -9720 + -18x + x2

Solving
0 = -9720 + -18x + x2

Solving for variable 'x'.

Combine like terms: 0 + 9720 = 9720
9720 + 18x + -1x2 = -9720 + -18x + x2 + 9720 + 18x + -1x2

Reorder the terms:
9720 + 18x + -1x2 = -9720 + 9720 + -18x + 18x + x2 + -1x2

Combine like terms: -9720 + 9720 = 0
9720 + 18x + -1x2 = 0 + -18x + 18x + x2 + -1x2
9720 + 18x + -1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
9720 + 18x + -1x2 = 0 + x2 + -1x2
9720 + 18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9720 + 18x + -1x2 = 0

Factor a trinomial.
(108 + -1x)(90 + x) = 0

Subproblem 1
Set the factor '(108 + -1x)' equal to zero and attempt to solve:

Simplifying
108 + -1x = 0

Solving
108 + -1x = 0

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

Add '-108' to each side of the equation.
108 + -108 + -1x = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -1x = 0 + -108
-1x = 0 + -108

Combine like terms: 0 + -108 = -108
-1x = -108

Divide each side by '-1'.
x = 108

Simplifying
x = 108
Subproblem 2
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
Solution
x = {108, -90}