X^2+-14X+48=0

Solution for X^2+-14X+48=0 equation:

Simplifying
X2 + -14X + 48 = 0

Reorder the terms:
48 + -14X + X2 = 0

Solving
48 + -14X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(6 + -1X)(8 + -1X) = 0

Subproblem 1
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6
Subproblem 2
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
Solution
X = {6, 8}