0=x^2-60x-7200

Solution for 0=x^2-60x-7200 equation:

Simplifying
0 = x2 + -60x + -7200

Reorder the terms:
0 = -7200 + -60x + x2

Solving
0 = -7200 + -60x + x2

Solving for variable 'x'.

Combine like terms: 0 + 7200 = 7200
7200 + 60x + -1x2 = -7200 + -60x + x2 + 7200 + 60x + -1x2

Reorder the terms:
7200 + 60x + -1x2 = -7200 + 7200 + -60x + 60x + x2 + -1x2

Combine like terms: -7200 + 7200 = 0
7200 + 60x + -1x2 = 0 + -60x + 60x + x2 + -1x2
7200 + 60x + -1x2 = -60x + 60x + x2 + -1x2

Combine like terms: -60x + 60x = 0
7200 + 60x + -1x2 = 0 + x2 + -1x2
7200 + 60x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7200 + 60x + -1x2 = 0

Factor a trinomial.
(120 + -1x)(60 + x) = 0

Subproblem 1
Set the factor '(120 + -1x)' equal to zero and attempt to solve:

Simplifying
120 + -1x = 0

Solving
120 + -1x = 0

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

Add '-120' to each side of the equation.
120 + -120 + -1x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -1x = 0 + -120
-1x = 0 + -120

Combine like terms: 0 + -120 = -120
-1x = -120

Divide each side by '-1'.
x = 120

Simplifying
x = 120
Subproblem 2
Set the factor '(60 + x)' equal to zero and attempt to solve:

Simplifying
60 + x = 0

Solving
60 + x = 0

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

Add '-60' to each side of the equation.
60 + -60 + x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + x = 0 + -60
x = 0 + -60

Combine like terms: 0 + -60 = -60
x = -60

Simplifying
x = -60
Solution
x = {120, -60}