48u^2-104u-64=0

Solution for 48u^2-104u-64=0 equation:

Simplifying
48u2 + -104u + -64 = 0

Reorder the terms:
-64 + -104u + 48u2 = 0

Solving
-64 + -104u + 48u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-8 + -13u + 6u2) = 0

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

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

Simplifying
-1 + -2u = 0

Solving
-1 + -2u = 0

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

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

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

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

Divide each side by '-2'.
u = -0.5

Simplifying
u = -0.5
Subproblem 2
Set the factor '(8 + -3u)' equal to zero and attempt to solve:

Simplifying
8 + -3u = 0

Solving
8 + -3u = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3u = 0 + -8
-3u = 0 + -8

Combine like terms: 0 + -8 = -8
-3u = -8

Divide each side by '-3'.
u = 2.666666667

Simplifying
u = 2.666666667
Solution
u = {-0.5, 2.666666667}