8X^2+56X+48=0

Solution for 8X^2+56X+48=0 equation:

Simplifying
8X2 + 56X + 48 = 0

Reorder the terms:
48 + 56X + 8X2 = 0

Solving
48 + 56X + 8X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '8'.
8(6 + 7X + X2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 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 + X = 0 + -6

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

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

Simplifying
X = -6
Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve:

Simplifying
1 + X = 0

Solving
1 + X = 0

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

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

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

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

Simplifying
X = -1
Solution
X = {-6, -1}