(5v+1)(5v-1)=0

Solution for (5v+1)(5v-1)=0 equation:

Simplifying
(5v + 1)(5v + -1) = 0

Reorder the terms:
(1 + 5v)(5v + -1) = 0

Reorder the terms:
(1 + 5v)(-1 + 5v) = 0

Multiply (1 + 5v) * (-1 + 5v)
(1(-1 + 5v) + 5v * (-1 + 5v)) = 0
((-1 * 1 + 5v * 1) + 5v * (-1 + 5v)) = 0
((-1 + 5v) + 5v * (-1 + 5v)) = 0
(-1 + 5v + (-1 * 5v + 5v * 5v)) = 0
(-1 + 5v + (-5v + 25v2)) = 0

Combine like terms: 5v + -5v = 0
(-1 + 0 + 25v2) = 0
(-1 + 25v2) = 0

Solving
-1 + 25v2 = 0

Solving for variable 'v'.

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

Add '1' to each side of the equation.
-1 + 1 + 25v2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 25v2 = 0 + 1
25v2 = 0 + 1

Combine like terms: 0 + 1 = 1
25v2 = 1

Divide each side by '25'.
v2 = 0.04

Simplifying
v2 = 0.04

Take the square root of each side:
v = {-0.2, 0.2}