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

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

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

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

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

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

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

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

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

Combine like terms: 10mn + -10mn = 0
2n(0 + -25m2 + 4n2) = 0
2n(-25m2 + 4n2) = 0
(-25m2 * 2n + 4n2 * 2n) = 0
(-50m2n + 8n3) = 0

Solving
-50m2n + 8n3 = 0

Solving for variable 'm'.

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

Add '-8n3' to each side of the equation.
-50m2n + 8n3 + -8n3 = 0 + -8n3

Combine like terms: 8n3 + -8n3 = 0
-50m2n + 0 = 0 + -8n3
-50m2n = 0 + -8n3
Remove the zero:
-50m2n = -8n3

Divide each side by '-50n'.
m2 = 0.16n2

Simplifying
m2 = 0.16n2

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