-(X)(X)+14(X)-48=0

Solution for -(X)(X)+14(X)-48=0 equation:

Simplifying
-1(X)(X) + 14(X) + -48 = 0

Multiply X * X
-1X2 + 14(X) + -48 = 0

Reorder the terms:
-48 + 14X + -1X2 = 0

Solving
-48 + 14X + -1X2 = 0

Solving for variable 'X'.

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

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

Simplifying
-8 + X = 0

Solving
-8 + X = 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 + X = 0 + 8

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

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

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