x^2-460x+24000=0

Solution for x^2-460x+24000=0 equation:

Simplifying
x2 + -460x + 24000 = 0

Reorder the terms:
24000 + -460x + x2 = 0

Solving
24000 + -460x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(60 + -1x)(400 + -1x) = 0

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 '(400 + -1x)' equal to zero and attempt to solve:

Simplifying
400 + -1x = 0

Solving
400 + -1x = 0

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

Add '-400' to each side of the equation.
400 + -400 + -1x = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -1x = 0 + -400
-1x = 0 + -400

Combine like terms: 0 + -400 = -400
-1x = -400

Divide each side by '-1'.
x = 400

Simplifying
x = 400
Solution
x = {60, 400}