(8m+5n)(8m-5n)=

Solution for (8m+5n)(8m-5n)= equation:

Simplifying
(8m + 5n)(8m + -5n) = 0

Multiply (8m + 5n) * (8m + -5n)
(8m * (8m + -5n) + 5n * (8m + -5n)) = 0
((8m * 8m + -5n * 8m) + 5n * (8m + -5n)) = 0

Reorder the terms:
((-40mn + 64m2) + 5n * (8m + -5n)) = 0
((-40mn + 64m2) + 5n * (8m + -5n)) = 0
(-40mn + 64m2 + (8m * 5n + -5n * 5n)) = 0
(-40mn + 64m2 + (40mn + -25n2)) = 0

Reorder the terms:
(-40mn + 40mn + 64m2 + -25n2) = 0

Combine like terms: -40mn + 40mn = 0
(0 + 64m2 + -25n2) = 0
(64m2 + -25n2) = 0

Solving
64m2 + -25n2 = 0

Solving for variable 'm'.

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

Add '25n2' to each side of the equation.
64m2 + -25n2 + 25n2 = 0 + 25n2

Combine like terms: -25n2 + 25n2 = 0
64m2 + 0 = 0 + 25n2
64m2 = 0 + 25n2
Remove the zero:
64m2 = 25n2

Divide each side by '64'.
m2 = 0.390625n2

Simplifying
m2 = 0.390625n2

Take the square root of each side:
m = {-0.625n, 0.625n}