(8v+4)(2v-1)=0

Solution for (8v+4)(2v-1)=0 equation:

Simplifying
(8v + 4)(2v + -1) = 0

Reorder the terms:
(4 + 8v)(2v + -1) = 0

Reorder the terms:
(4 + 8v)(-1 + 2v) = 0

Multiply (4 + 8v) * (-1 + 2v)
(4(-1 + 2v) + 8v * (-1 + 2v)) = 0
((-1 * 4 + 2v * 4) + 8v * (-1 + 2v)) = 0
((-4 + 8v) + 8v * (-1 + 2v)) = 0
(-4 + 8v + (-1 * 8v + 2v * 8v)) = 0
(-4 + 8v + (-8v + 16v2)) = 0

Combine like terms: 8v + -8v = 0
(-4 + 0 + 16v2) = 0
(-4 + 16v2) = 0

Solving
-4 + 16v2 = 0

Solving for variable 'v'.

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

Add '4' to each side of the equation.
-4 + 4 + 16v2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 16v2 = 0 + 4
16v2 = 0 + 4

Combine like terms: 0 + 4 = 4
16v2 = 4

Divide each side by '16'.
v2 = 0.25

Simplifying
v2 = 0.25

Take the square root of each side:
v = {-0.5, 0.5}