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

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


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

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

Reorder the terms:
((15uv + 25u2) + -3v * (5u + 3v)) = 0
((15uv + 25u2) + -3v * (5u + 3v)) = 0
(15uv + 25u2 + (5u * -3v + 3v * -3v)) = 0
(15uv + 25u2 + (-15uv + -9v2)) = 0

Reorder the terms:
(15uv + -15uv + 25u2 + -9v2) = 0

Combine like terms: 15uv + -15uv = 0
(0 + 25u2 + -9v2) = 0
(25u2 + -9v2) = 0

Solving
25u2 + -9v2 = 0

Solving for variable 'u'.

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

Add '9v2' to each side of the equation.
25u2 + -9v2 + 9v2 = 0 + 9v2

Combine like terms: -9v2 + 9v2 = 0
25u2 + 0 = 0 + 9v2
25u2 = 0 + 9v2
Remove the zero:
25u2 = 9v2

Divide each side by '25'.
u2 = 0.36v2

Simplifying
u2 = 0.36v2

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

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