(3u-7w)(3u+7w)=

Solution for (3u-7w)(3u+7w)= equation:

Simplifying
(3u + -7w)(3u + 7w) = 0

Multiply (3u + -7w) * (3u + 7w)
(3u * (3u + 7w) + -7w * (3u + 7w)) = 0
((3u * 3u + 7w * 3u) + -7w * (3u + 7w)) = 0

Reorder the terms:
((21uw + 9u2) + -7w * (3u + 7w)) = 0
((21uw + 9u2) + -7w * (3u + 7w)) = 0
(21uw + 9u2 + (3u * -7w + 7w * -7w)) = 0
(21uw + 9u2 + (-21uw + -49w2)) = 0

Reorder the terms:
(21uw + -21uw + 9u2 + -49w2) = 0

Combine like terms: 21uw + -21uw = 0
(0 + 9u2 + -49w2) = 0
(9u2 + -49w2) = 0

Solving
9u2 + -49w2 = 0

Solving for variable 'u'.

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

Add '49w2' to each side of the equation.
9u2 + -49w2 + 49w2 = 0 + 49w2

Combine like terms: -49w2 + 49w2 = 0
9u2 + 0 = 0 + 49w2
9u2 = 0 + 49w2
Remove the zero:
9u2 = 49w2

Divide each side by '9'.
u2 = 5.444444444w2

Simplifying
u2 = 5.444444444w2

Take the square root of each side:
u = {-2.333333333w, 2.333333333w}