(7w-6u)(7w+6u)=

Solution for (7w-6u)(7w+6u)= equation:

Simplifying
(7w + -6u)(7w + 6u) = 0

Reorder the terms:
(-6u + 7w)(7w + 6u) = 0

Reorder the terms:
(-6u + 7w)(6u + 7w) = 0

Multiply (-6u + 7w) * (6u + 7w)
(-6u * (6u + 7w) + 7w * (6u + 7w)) = 0
((6u * -6u + 7w * -6u) + 7w * (6u + 7w)) = 0

Reorder the terms:
((-42uw + -36u2) + 7w * (6u + 7w)) = 0
((-42uw + -36u2) + 7w * (6u + 7w)) = 0
(-42uw + -36u2 + (6u * 7w + 7w * 7w)) = 0
(-42uw + -36u2 + (42uw + 49w2)) = 0

Reorder the terms:
(-42uw + 42uw + -36u2 + 49w2) = 0

Combine like terms: -42uw + 42uw = 0
(0 + -36u2 + 49w2) = 0
(-36u2 + 49w2) = 0

Solving
-36u2 + 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.
-36u2 + 49w2 + -49w2 = 0 + -49w2

Combine like terms: 49w2 + -49w2 = 0
-36u2 + 0 = 0 + -49w2
-36u2 = 0 + -49w2
Remove the zero:
-36u2 = -49w2

Divide each side by '-36'.
u2 = 1.361111111w2

Simplifying
u2 = 1.361111111w2

Take the square root of each side:
u = {-1.166666667w, 1.166666667w}