x^2-144x+4608=0

Solution for x^2-144x+4608=0 equation:

Simplifying
x2 + -144x + 4608 = 0

Reorder the terms:
4608 + -144x + x2 = 0

Solving
4608 + -144x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(48 + -1x)(96 + -1x) = 0

Subproblem 1
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Subproblem 2
Set the factor '(96 + -1x)' equal to zero and attempt to solve:

Simplifying
96 + -1x = 0

Solving
96 + -1x = 0

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

Add '-96' to each side of the equation.
96 + -96 + -1x = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -1x = 0 + -96
-1x = 0 + -96

Combine like terms: 0 + -96 = -96
-1x = -96

Divide each side by '-1'.
x = 96

Simplifying
x = 96
Solution
x = {48, 96}