5x^2-16x-4608=0

Solution for 5x^2-16x-4608=0 equation:

Simplifying
5x2 + -16x + -4608 = 0

Reorder the terms:
-4608 + -16x + 5x2 = 0

Solving
-4608 + -16x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-144 + -5x)(32 + -1x) = 0

Subproblem 1
Set the factor '(-144 + -5x)' equal to zero and attempt to solve:

Simplifying
-144 + -5x = 0

Solving
-144 + -5x = 0

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

Add '144' to each side of the equation.
-144 + 144 + -5x = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -5x = 0 + 144
-5x = 0 + 144

Combine like terms: 0 + 144 = 144
-5x = 144

Divide each side by '-5'.
x = -28.8

Simplifying
x = -28.8
Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Solution
x = {-28.8, 32}