5u^2-4u-64=0

Solution for 5u^2-4u-64=0 equation:

Simplifying
5u2 + -4u + -64 = 0

Reorder the terms:
-64 + -4u + 5u2 = 0

Solving
-64 + -4u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-16 + -5u)(4 + -1u) = 0

Subproblem 1
Set the factor '(-16 + -5u)' equal to zero and attempt to solve:

Simplifying
-16 + -5u = 0

Solving
-16 + -5u = 0

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

Add '16' to each side of the equation.
-16 + 16 + -5u = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -5u = 0 + 16
-5u = 0 + 16

Combine like terms: 0 + 16 = 16
-5u = 16

Divide each side by '-5'.
u = -3.2

Simplifying
u = -3.2
Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {-3.2, 4}