0=2y^2-4y-16

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Solution for 0=2y^2-4y-16 equation: 


Simplifying
0 = 2y2 + -4y + -16

Reorder the terms:
0 = -16 + -4y + 2y2

Solving
0 = -16 + -4y + 2y2

Solving for variable 'y'.

Combine like terms: 0 + 16 = 16
16 + 4y + -2y2 = -16 + -4y + 2y2 + 16 + 4y + -2y2

Reorder the terms:
16 + 4y + -2y2 = -16 + 16 + -4y + 4y + 2y2 + -2y2

Combine like terms: -16 + 16 = 0
16 + 4y + -2y2 = 0 + -4y + 4y + 2y2 + -2y2
16 + 4y + -2y2 = -4y + 4y + 2y2 + -2y2

Combine like terms: -4y + 4y = 0
16 + 4y + -2y2 = 0 + 2y2 + -2y2
16 + 4y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
16 + 4y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 2y + -1y2) = 0

Factor a trinomial.
2((4 + -1y)(2 + y)) = 0

Ignore the factor 2.

Subproblem 1
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

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 = {4, -2}

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