3600=3x(x-40)

Solution for 3600=3x(x-40) equation:

Simplifying
3600 = 3x(x + -40)

Reorder the terms:
3600 = 3x(-40 + x)
3600 = (-40 * 3x + x * 3x)
3600 = (-120x + 3x2)

Solving
3600 = -120x + 3x2

Solving for variable 'x'.

Reorder the terms:
3600 + 120x + -3x2 = -120x + 120x + 3x2 + -3x2

Combine like terms: -120x + 120x = 0
3600 + 120x + -3x2 = 0 + 3x2 + -3x2
3600 + 120x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3600 + 120x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1200 + 40x + -1x2) = 0

Factor a trinomial.
3((60 + -1x)(20 + x)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 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 + x = 0 + -20

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

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

Simplifying
x = -20
Solution
x = {60, -20}