(3w+4u)(3w-4u)=0

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Solution for (3w+4u)(3w-4u)=0 equation: 


Simplifying
(3w + 4u)(3w + -4u) = 0

Reorder the terms:
(4u + 3w)(3w + -4u) = 0

Reorder the terms:
(4u + 3w)(-4u + 3w) = 0

Multiply (4u + 3w) * (-4u + 3w)
(4u * (-4u + 3w) + 3w * (-4u + 3w)) = 0
((-4u * 4u + 3w * 4u) + 3w * (-4u + 3w)) = 0

Reorder the terms:
((12uw + -16u2) + 3w * (-4u + 3w)) = 0
((12uw + -16u2) + 3w * (-4u + 3w)) = 0
(12uw + -16u2 + (-4u * 3w + 3w * 3w)) = 0
(12uw + -16u2 + (-12uw + 9w2)) = 0

Reorder the terms:
(12uw + -12uw + -16u2 + 9w2) = 0

Combine like terms: 12uw + -12uw = 0
(0 + -16u2 + 9w2) = 0
(-16u2 + 9w2) = 0

Solving
-16u2 + 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.
-16u2 + 9w2 + -9w2 = 0 + -9w2

Combine like terms: 9w2 + -9w2 = 0
-16u2 + 0 = 0 + -9w2
-16u2 = 0 + -9w2
Remove the zero:
-16u2 = -9w2

Divide each side by '-16'.
u2 = 0.5625w2

Simplifying
u2 = 0.5625w2

Take the square root of each side:
u = {-0.75w, 0.75w}

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