(7v-6)(7v+6)=0

Solution for (7v-6)(7v+6)=0 equation:

Simplifying
(7v + -6)(7v + 6) = 0

Reorder the terms:
(-6 + 7v)(7v + 6) = 0

Reorder the terms:
(-6 + 7v)(6 + 7v) = 0

Multiply (-6 + 7v) * (6 + 7v)
(-6(6 + 7v) + 7v * (6 + 7v)) = 0
((6 * -6 + 7v * -6) + 7v * (6 + 7v)) = 0
((-36 + -42v) + 7v * (6 + 7v)) = 0
(-36 + -42v + (6 * 7v + 7v * 7v)) = 0
(-36 + -42v + (42v + 49v2)) = 0

Combine like terms: -42v + 42v = 0
(-36 + 0 + 49v2) = 0
(-36 + 49v2) = 0

Solving
-36 + 49v2 = 0

Solving for variable 'v'.

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

Add '36' to each side of the equation.
-36 + 36 + 49v2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 49v2 = 0 + 36
49v2 = 0 + 36

Combine like terms: 0 + 36 = 36
49v2 = 36

Divide each side by '49'.
v2 = 0.7346938776

Simplifying
v2 = 0.7346938776

Take the square root of each side:
v = {-0.857142857, 0.857142857}