(8m-4w)(8m+4w)=

Solution for (8m-4w)(8m+4w)= equation:

Simplifying
(8m + -4w)(8m + 4w) = 0

Multiply (8m + -4w) * (8m + 4w)
(8m * (8m + 4w) + -4w * (8m + 4w)) = 0
((8m * 8m + 4w * 8m) + -4w * (8m + 4w)) = 0

Reorder the terms:
((32mw + 64m2) + -4w * (8m + 4w)) = 0
((32mw + 64m2) + -4w * (8m + 4w)) = 0
(32mw + 64m2 + (8m * -4w + 4w * -4w)) = 0
(32mw + 64m2 + (-32mw + -16w2)) = 0

Reorder the terms:
(32mw + -32mw + 64m2 + -16w2) = 0

Combine like terms: 32mw + -32mw = 0
(0 + 64m2 + -16w2) = 0
(64m2 + -16w2) = 0

Solving
64m2 + -16w2 = 0

Solving for variable 'm'.

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

Add '16w2' to each side of the equation.
64m2 + -16w2 + 16w2 = 0 + 16w2

Combine like terms: -16w2 + 16w2 = 0
64m2 + 0 = 0 + 16w2
64m2 = 0 + 16w2
Remove the zero:
64m2 = 16w2

Divide each side by '64'.
m2 = 0.25w2

Simplifying
m2 = 0.25w2

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