5y^2-4y-64=0

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

Simplifying
5y2 + -4y + -64 = 0

Reorder the terms:
-64 + -4y + 5y2 = 0

Solving
-64 + -4y + 5y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-16 + -5y = 0

Solving
-16 + -5y = 0

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

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

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

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

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

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

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

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

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

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

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

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