0=2y^2-28y-64

Solution for 0=2y^2-28y-64 equation:

Simplifying
0 = 2y2 + -28y + -64

Reorder the terms:
0 = -64 + -28y + 2y2

Solving
0 = -64 + -28y + 2y2

Solving for variable 'y'.

Combine like terms: 0 + 64 = 64
64 + 28y + -2y2 = -64 + -28y + 2y2 + 64 + 28y + -2y2

Reorder the terms:
64 + 28y + -2y2 = -64 + 64 + -28y + 28y + 2y2 + -2y2

Combine like terms: -64 + 64 = 0
64 + 28y + -2y2 = 0 + -28y + 28y + 2y2 + -2y2
64 + 28y + -2y2 = -28y + 28y + 2y2 + -2y2

Combine like terms: -28y + 28y = 0
64 + 28y + -2y2 = 0 + 2y2 + -2y2
64 + 28y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
64 + 28y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 14y + -1y2) = 0

Factor a trinomial.
2((16 + -1y)(2 + y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(16 + -1y)' equal to zero and attempt to solve:

Simplifying
16 + -1y = 0

Solving
16 + -1y = 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 + -1y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 0 + -16
-1y = 0 + -16

Combine like terms: 0 + -16 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

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

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {16, -2}