0=x^2-620x+12000

Solution for 0=x^2-620x+12000 equation:

Simplifying
0 = x2 + -620x + 12000

Reorder the terms:
0 = 12000 + -620x + x2

Solving
0 = 12000 + -620x + x2

Solving for variable 'x'.

Combine like terms: 0 + -12000 = -12000
-12000 + 620x + -1x2 = 12000 + -620x + x2 + -12000 + 620x + -1x2

Reorder the terms:
-12000 + 620x + -1x2 = 12000 + -12000 + -620x + 620x + x2 + -1x2

Combine like terms: 12000 + -12000 = 0
-12000 + 620x + -1x2 = 0 + -620x + 620x + x2 + -1x2
-12000 + 620x + -1x2 = -620x + 620x + x2 + -1x2

Combine like terms: -620x + 620x = 0
-12000 + 620x + -1x2 = 0 + x2 + -1x2
-12000 + 620x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12000 + 620x + -1x2 = 0

Factor a trinomial.
(-600 + x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-600 + x)' equal to zero and attempt to solve:

Simplifying
-600 + x = 0

Solving
-600 + x = 0

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

Add '600' to each side of the equation.
-600 + 600 + x = 0 + 600

Combine like terms: -600 + 600 = 0
0 + x = 0 + 600
x = 0 + 600

Combine like terms: 0 + 600 = 600
x = 600

Simplifying
x = 600
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 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 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {600, 20}