8x^2+12x-4896=0

Solution for 8x^2+12x-4896=0 equation:

Simplifying
8x2 + 12x + -4896 = 0

Reorder the terms:
-4896 + 12x + 8x2 = 0

Solving
-4896 + 12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1224 + 3x + 2x2) = 0

Factor a trinomial.
4((-51 + -2x)(24 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-51 + -2x)' equal to zero and attempt to solve:

Simplifying
-51 + -2x = 0

Solving
-51 + -2x = 0

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

Add '51' to each side of the equation.
-51 + 51 + -2x = 0 + 51

Combine like terms: -51 + 51 = 0
0 + -2x = 0 + 51
-2x = 0 + 51

Combine like terms: 0 + 51 = 51
-2x = 51

Divide each side by '-2'.
x = -25.5

Simplifying
x = -25.5
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-25.5, 24}