x^2+8x-4608=0

Solution for x^2+8x-4608=0 equation:

Simplifying
x2 + 8x + -4608 = 0

Reorder the terms:
-4608 + 8x + x2 = 0

Solving
-4608 + 8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-72 + -1x)(64 + -1x) = 0

Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve:

Simplifying
-72 + -1x = 0

Solving
-72 + -1x = 0

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

Add '72' to each side of the equation.
-72 + 72 + -1x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1x = 0 + 72
-1x = 0 + 72

Combine like terms: 0 + 72 = 72
-1x = 72

Divide each side by '-1'.
x = -72

Simplifying
x = -72
Subproblem 2
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Solution
x = {-72, 64}