(2n+2n)(2n+5m)(2n-5m)=

Solution for (2n+2n)(2n+5m)(2n-5m)= equation:

Simplifying
(2n + 2n)(2n + 5m)(2n + -5m) = 0

Combine like terms: 2n + 2n = 4n
(4n)(2n + 5m)(2n + -5m) = 0

Remove parenthesis around (4n)
4n(2n + 5m)(2n + -5m) = 0

Reorder the terms:
4n(5m + 2n)(2n + -5m) = 0

Reorder the terms:
4n(5m + 2n)(-5m + 2n) = 0

Multiply (5m + 2n) * (-5m + 2n)
4n(5m * (-5m + 2n) + 2n * (-5m + 2n)) = 0
4n((-5m * 5m + 2n * 5m) + 2n * (-5m + 2n)) = 0

Reorder the terms:
4n((10mn + -25m2) + 2n * (-5m + 2n)) = 0
4n((10mn + -25m2) + 2n * (-5m + 2n)) = 0
4n(10mn + -25m2 + (-5m * 2n + 2n * 2n)) = 0
4n(10mn + -25m2 + (-10mn + 4n2)) = 0

Reorder the terms:
4n(10mn + -10mn + -25m2 + 4n2) = 0

Combine like terms: 10mn + -10mn = 0
4n(0 + -25m2 + 4n2) = 0
4n(-25m2 + 4n2) = 0
(-25m2 * 4n + 4n2 * 4n) = 0
(-100m2n + 16n3) = 0

Solving
-100m2n + 16n3 = 0

Solving for variable 'm'.

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

Add '-16n3' to each side of the equation.
-100m2n + 16n3 + -16n3 = 0 + -16n3

Combine like terms: 16n3 + -16n3 = 0
-100m2n + 0 = 0 + -16n3
-100m2n = 0 + -16n3
Remove the zero:
-100m2n = -16n3

Divide each side by '-100n'.
m2 = 0.16n2

Simplifying
m2 = 0.16n2

Take the square root of each side:
m = {-0.4n, 0.4n}