8X^2-8X-48=0

Solution for 8X^2-8X-48=0 equation:

Simplifying
8X2 + -8X + -48 = 0

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

Solving
-48 + -8X + 8X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-6 + -1X + X2) = 0

Factor a trinomial.
8((-2 + -1X)(3 + -1X)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-2 + -1X)' equal to zero and attempt to solve:

Simplifying
-2 + -1X = 0

Solving
-2 + -1X = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1X = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1X = 0 + 2
-1X = 0 + 2

Combine like terms: 0 + 2 = 2
-1X = 2

Divide each side by '-1'.
X = -2

Simplifying
X = -2
Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {-2, 3}