(4m-2n)(4m+2n)=

Solution for (4m-2n)(4m+2n)= equation:

Simplifying
(4m + -2n)(4m + 2n) = 0

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

Reorder the terms:
((8mn + 16m2) + -2n * (4m + 2n)) = 0
((8mn + 16m2) + -2n * (4m + 2n)) = 0
(8mn + 16m2 + (4m * -2n + 2n * -2n)) = 0
(8mn + 16m2 + (-8mn + -4n2)) = 0

Reorder the terms:
(8mn + -8mn + 16m2 + -4n2) = 0

Combine like terms: 8mn + -8mn = 0
(0 + 16m2 + -4n2) = 0
(16m2 + -4n2) = 0

Solving
16m2 + -4n2 = 0

Solving for variable 'm'.

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

Add '4n2' to each side of the equation.
16m2 + -4n2 + 4n2 = 0 + 4n2

Combine like terms: -4n2 + 4n2 = 0
16m2 + 0 = 0 + 4n2
16m2 = 0 + 4n2
Remove the zero:
16m2 = 4n2

Divide each side by '16'.
m2 = 0.25n2

Simplifying
m2 = 0.25n2

Take the square root of each side:
m = {-0.5n, 0.5n}