49w^2-56wu+16U^2=0

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Solution for 49w^2-56wu+16U^2=0 equation: 


Simplifying
49w2 + -56wu + 16U2 = 0

Reorder the terms:
16U2 + -56uw + 49w2 = 0

Solving
16U2 + -56uw + 49w2 = 0

Solving for variable 'U'.

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

Add '56uw' to each side of the equation.
16U2 + -56uw + 56uw + 49w2 = 0 + 56uw

Combine like terms: -56uw + 56uw = 0
16U2 + 0 + 49w2 = 0 + 56uw
16U2 + 49w2 = 0 + 56uw
Remove the zero:
16U2 + 49w2 = 56uw

Add '-49w2' to each side of the equation.
16U2 + 49w2 + -49w2 = 56uw + -49w2

Combine like terms: 49w2 + -49w2 = 0
16U2 + 0 = 56uw + -49w2
16U2 = 56uw + -49w2

Divide each side by '16'.
U2 = 3.5uw + -3.0625w2

Simplifying
U2 = 3.5uw + -3.0625w2

Reorder the terms:
U2 + -3.5uw + 3.0625w2 = 3.5uw + -3.5uw + -3.0625w2 + 3.0625w2

Combine like terms: 3.5uw + -3.5uw = 0.0
U2 + -3.5uw + 3.0625w2 = 0.0 + -3.0625w2 + 3.0625w2
U2 + -3.5uw + 3.0625w2 = -3.0625w2 + 3.0625w2

Combine like terms: -3.0625w2 + 3.0625w2 = 0.0000
U2 + -3.5uw + 3.0625w2 = 0.0000

The solution to this equation could not be determined.

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