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

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


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

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

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

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

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

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

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

Solving
-9u2 + 16w2 = 0

Solving for variable 'u'.

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

Add '-16w2' to each side of the equation.
-9u2 + 16w2 + -16w2 = 0 + -16w2

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

Divide each side by '-9'.
u2 = 1.777777778w2

Simplifying
u2 = 1.777777778w2

Take the square root of each side:
u = {-1.333333333w, 1.333333333w}

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