3600=(x+2)x*30

Solution for 3600=(x+2)x*30 equation:

Simplifying
3600 = (x + 2) * x * 30

Reorder the terms:
3600 = (2 + x) * x * 30

Reorder the terms for easier multiplication:
3600 = 30x(2 + x)
3600 = (2 * 30x + x * 30x)
3600 = (60x + 30x2)

Solving
3600 = 60x + 30x2

Solving for variable 'x'.

Reorder the terms:
3600 + -60x + -30x2 = 60x + -60x + 30x2 + -30x2

Combine like terms: 60x + -60x = 0
3600 + -60x + -30x2 = 0 + 30x2 + -30x2
3600 + -60x + -30x2 = 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
3600 + -60x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '30'.
30(120 + -2x + -1x2) = 0

Factor a trinomial.
30((10 + -1x)(12 + x)) = 0

Ignore the factor 30.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {10, -12}