(8m-3v)(8m+3v)=

Solution for (8m-3v)(8m+3v)= equation:

Simplifying
(8m + -3v)(8m + 3v) = 0

Multiply (8m + -3v) * (8m + 3v)
(8m * (8m + 3v) + -3v * (8m + 3v)) = 0
((8m * 8m + 3v * 8m) + -3v * (8m + 3v)) = 0

Reorder the terms:
((24mv + 64m2) + -3v * (8m + 3v)) = 0
((24mv + 64m2) + -3v * (8m + 3v)) = 0
(24mv + 64m2 + (8m * -3v + 3v * -3v)) = 0
(24mv + 64m2 + (-24mv + -9v2)) = 0

Reorder the terms:
(24mv + -24mv + 64m2 + -9v2) = 0

Combine like terms: 24mv + -24mv = 0
(0 + 64m2 + -9v2) = 0
(64m2 + -9v2) = 0

Solving
64m2 + -9v2 = 0

Solving for variable 'm'.

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

Add '9v2' to each side of the equation.
64m2 + -9v2 + 9v2 = 0 + 9v2

Combine like terms: -9v2 + 9v2 = 0
64m2 + 0 = 0 + 9v2
64m2 = 0 + 9v2
Remove the zero:
64m2 = 9v2

Divide each side by '64'.
m2 = 0.140625v2

Simplifying
m2 = 0.140625v2

Take the square root of each side:
m = {-0.375v, 0.375v}