(3u+4w)(3u-4w)=

Solution for (3u+4w)(3u-4w)= equation:

Simplifying
(3u + 4w)(3u + -4w) = 0

Multiply (3u + 4w) * (3u + -4w)
(3u * (3u + -4w) + 4w * (3u + -4w)) = 0
((3u * 3u + -4w * 3u) + 4w * (3u + -4w)) = 0

Reorder the terms:
((-12uw + 9u2) + 4w * (3u + -4w)) = 0
((-12uw + 9u2) + 4w * (3u + -4w)) = 0
(-12uw + 9u2 + (3u * 4w + -4w * 4w)) = 0
(-12uw + 9u2 + (12uw + -16w2)) = 0

Reorder the terms:
(-12uw + 12uw + 9u2 + -16w2) = 0

Combine like terms: -12uw + 12uw = 0
(0 + 9u2 + -16w2) = 0
(9u2 + -16w2) = 0

Solving
9u2 + -16w2 = 0

Solving for variable 'u'.

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

Add '16w2' to each side of the equation.
9u2 + -16w2 + 16w2 = 0 + 16w2

Combine like terms: -16w2 + 16w2 = 0
9u2 + 0 = 0 + 16w2
9u2 = 0 + 16w2
Remove the zero:
9u2 = 16w2

Divide each side by '9'.
u2 = 1.777777778w2

Simplifying
u2 = 1.777777778w2

Take the square root of each side:
u = {-1.333333333w, 1.333333333w}