x^2-289x+14400=0

Solution for x^2-289x+14400=0 equation:

Simplifying
x2 + -289x + 14400 = 0

Reorder the terms:
14400 + -289x + x2 = 0

Solving
14400 + -289x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(64 + -1x)(225 + -1x) = 0

Subproblem 1
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Subproblem 2
Set the factor '(225 + -1x)' equal to zero and attempt to solve:

Simplifying
225 + -1x = 0

Solving
225 + -1x = 0

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

Add '-225' to each side of the equation.
225 + -225 + -1x = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -1x = 0 + -225
-1x = 0 + -225

Combine like terms: 0 + -225 = -225
-1x = -225

Divide each side by '-1'.
x = 225

Simplifying
x = 225
Solution
x = {64, 225}