(5u+3w)(5u-3w)=

Solution for (5u+3w)(5u-3w)= equation:

Simplifying
(5u + 3w)(5u + -3w) = 0

Multiply (5u + 3w) * (5u + -3w)
(5u * (5u + -3w) + 3w * (5u + -3w)) = 0
((5u * 5u + -3w * 5u) + 3w * (5u + -3w)) = 0

Reorder the terms:
((-15uw + 25u2) + 3w * (5u + -3w)) = 0
((-15uw + 25u2) + 3w * (5u + -3w)) = 0
(-15uw + 25u2 + (5u * 3w + -3w * 3w)) = 0
(-15uw + 25u2 + (15uw + -9w2)) = 0

Reorder the terms:
(-15uw + 15uw + 25u2 + -9w2) = 0

Combine like terms: -15uw + 15uw = 0
(0 + 25u2 + -9w2) = 0
(25u2 + -9w2) = 0

Solving
25u2 + -9w2 = 0

Solving for variable 'u'.

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

Add '9w2' to each side of the equation.
25u2 + -9w2 + 9w2 = 0 + 9w2

Combine like terms: -9w2 + 9w2 = 0
25u2 + 0 = 0 + 9w2
25u2 = 0 + 9w2
Remove the zero:
25u2 = 9w2

Divide each side by '25'.
u2 = 0.36w2

Simplifying
u2 = 0.36w2

Take the square root of each side:
u = {-0.6w, 0.6w}