(y-2)(16y+4)=0

Solution for (y-2)(16y+4)=0 equation:

Simplifying
(y + -2)(16y + 4) = 0

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

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

Multiply (-2 + y) * (4 + 16y)
(-2(4 + 16y) + y(4 + 16y)) = 0
((4 * -2 + 16y * -2) + y(4 + 16y)) = 0
((-8 + -32y) + y(4 + 16y)) = 0
(-8 + -32y + (4 * y + 16y * y)) = 0
(-8 + -32y + (4y + 16y2)) = 0

Combine like terms: -32y + 4y = -28y
(-8 + -28y + 16y2) = 0

Solving
-8 + -28y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -7y + 4y2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -4y)' equal to zero and attempt to solve:

Simplifying
-1 + -4y = 0

Solving
-1 + -4y = 0

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

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

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

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

Divide each side by '-4'.
y = -0.25

Simplifying
y = -0.25
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.25, 2}