x^2-148x+576=0

Solution for x^2-148x+576=0 equation:

Simplifying
x2 + -148x + 576 = 0

Reorder the terms:
576 + -148x + x2 = 0

Solving
576 + -148x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(144 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(144 + -1x)' equal to zero and attempt to solve:

Simplifying
144 + -1x = 0

Solving
144 + -1x = 0

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

Add '-144' to each side of the equation.
144 + -144 + -1x = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1x = 0 + -144
-1x = 0 + -144

Combine like terms: 0 + -144 = -144
-1x = -144

Divide each side by '-1'.
x = 144

Simplifying
x = 144
Solution
x = {4, 144}