(3+7v)(3-7v)=0

Solution for (3+7v)(3-7v)=0 equation:

Simplifying
(3 + 7v)(3 + -7v) = 0

Multiply (3 + 7v) * (3 + -7v)
(3(3 + -7v) + 7v * (3 + -7v)) = 0
((3 * 3 + -7v * 3) + 7v * (3 + -7v)) = 0
((9 + -21v) + 7v * (3 + -7v)) = 0
(9 + -21v + (3 * 7v + -7v * 7v)) = 0
(9 + -21v + (21v + -49v2)) = 0

Combine like terms: -21v + 21v = 0
(9 + 0 + -49v2) = 0
(9 + -49v2) = 0

Solving
9 + -49v2 = 0

Solving for variable 'v'.

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

Add '-9' to each side of the equation.
9 + -9 + -49v2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -49v2 = 0 + -9
-49v2 = 0 + -9

Combine like terms: 0 + -9 = -9
-49v2 = -9

Divide each side by '-49'.
v2 = 0.1836734694

Simplifying
v2 = 0.1836734694

Take the square root of each side:
v = {-0.428571429, 0.428571429}