X^2-56X+384=0

Solution for X^2-56X+384=0 equation:

Simplifying
X2 + -56X + 384 = 0

Reorder the terms:
384 + -56X + X2 = 0

Solving
384 + -56X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(8 + -1X)(48 + -1X) = 0

Subproblem 1
Set the factor '(8 + -1X)' equal to zero and attempt to solve:

Simplifying
8 + -1X = 0

Solving
8 + -1X = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 0 + -8
-1X = 0 + -8

Combine like terms: 0 + -8 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8
Subproblem 2
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
Solution
X = {8, 48}