4y^2+28yz+49z^2-25u^2=0

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Solution for 4y^2+28yz+49z^2-25u^2=0 equation: 


Simplifying
4y2 + 28yz + 49z2 + -25u2 = 0

Reorder the terms:
-25u2 + 28yz + 4y2 + 49z2 = 0

Solving
-25u2 + 28yz + 4y2 + 49z2 = 0

Solving for variable 'u'.

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

Add '-28yz' to each side of the equation.
-25u2 + 28yz + 4y2 + -28yz + 49z2 = 0 + -28yz

Reorder the terms:
-25u2 + 28yz + -28yz + 4y2 + 49z2 = 0 + -28yz

Combine like terms: 28yz + -28yz = 0
-25u2 + 0 + 4y2 + 49z2 = 0 + -28yz
-25u2 + 4y2 + 49z2 = 0 + -28yz
Remove the zero:
-25u2 + 4y2 + 49z2 = -28yz

Add '-4y2' to each side of the equation.
-25u2 + 4y2 + -4y2 + 49z2 = -28yz + -4y2

Combine like terms: 4y2 + -4y2 = 0
-25u2 + 0 + 49z2 = -28yz + -4y2
-25u2 + 49z2 = -28yz + -4y2

Add '-49z2' to each side of the equation.
-25u2 + 49z2 + -49z2 = -28yz + -4y2 + -49z2

Combine like terms: 49z2 + -49z2 = 0
-25u2 + 0 = -28yz + -4y2 + -49z2
-25u2 = -28yz + -4y2 + -49z2

Divide each side by '-25'.
u2 = 1.12yz + 0.16y2 + 1.96z2

Simplifying
u2 = 1.12yz + 0.16y2 + 1.96z2

Reorder the terms:
u2 + -1.12yz + -0.16y2 + -1.96z2 = 1.12yz + -1.12yz + 0.16y2 + -0.16y2 + 1.96z2 + -1.96z2

Combine like terms: 1.12yz + -1.12yz = 0.00
u2 + -1.12yz + -0.16y2 + -1.96z2 = 0.00 + 0.16y2 + -0.16y2 + 1.96z2 + -1.96z2
u2 + -1.12yz + -0.16y2 + -1.96z2 = 0.16y2 + -0.16y2 + 1.96z2 + -1.96z2

Combine like terms: 0.16y2 + -0.16y2 = 0.00
u2 + -1.12yz + -0.16y2 + -1.96z2 = 0.00 + 1.96z2 + -1.96z2
u2 + -1.12yz + -0.16y2 + -1.96z2 = 1.96z2 + -1.96z2

Combine like terms: 1.96z2 + -1.96z2 = 0.00
u2 + -1.12yz + -0.16y2 + -1.96z2 = 0.00

The solution to this equation could not be determined.

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