120x-x^2=3600

Solution for 120x-x^2=3600 equation:

Simplifying
120x + -1x2 = 3600

Solving
120x + -1x2 = 3600

Solving for variable 'x'.

Reorder the terms:
-3600 + 120x + -1x2 = 3600 + -3600

Combine like terms: 3600 + -3600 = 0
-3600 + 120x + -1x2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 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 + -1x = 0 + -60

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

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

Divide each side by '-1'.
x = 60

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