(5u-7w)(5u+7w)=

Solution for (5u-7w)(5u+7w)= equation:

Simplifying
(5u + -7w)(5u + 7w) = 0

Multiply (5u + -7w) * (5u + 7w)
(5u * (5u + 7w) + -7w * (5u + 7w)) = 0
((5u * 5u + 7w * 5u) + -7w * (5u + 7w)) = 0

Reorder the terms:
((35uw + 25u2) + -7w * (5u + 7w)) = 0
((35uw + 25u2) + -7w * (5u + 7w)) = 0
(35uw + 25u2 + (5u * -7w + 7w * -7w)) = 0
(35uw + 25u2 + (-35uw + -49w2)) = 0

Reorder the terms:
(35uw + -35uw + 25u2 + -49w2) = 0

Combine like terms: 35uw + -35uw = 0
(0 + 25u2 + -49w2) = 0
(25u2 + -49w2) = 0

Solving
25u2 + -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.
25u2 + -49w2 + 49w2 = 0 + 49w2

Combine like terms: -49w2 + 49w2 = 0
25u2 + 0 = 0 + 49w2
25u2 = 0 + 49w2
Remove the zero:
25u2 = 49w2

Divide each side by '25'.
u2 = 1.96w2

Simplifying
u2 = 1.96w2

Take the square root of each side:
u = {-1.4w, 1.4w}