Xy^2+z^2+w^2=xy^2-5

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Solution for Xy^2+z^2+w^2=xy^2-5 equation: 


Simplifying
Xy2 + z2 + w2 = xy2 + -5

Reorder the terms:
w2 + y2X + z2 = xy2 + -5

Reorder the terms:
w2 + y2X + z2 = -5 + xy2

Solving
w2 + y2X + z2 = -5 + xy2

Solving for variable 'w'.

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

Add '-1y2X' to each side of the equation.
w2 + y2X + -1y2X + z2 = -5 + xy2 + -1y2X

Combine like terms: y2X + -1y2X = 0
w2 + 0 + z2 = -5 + xy2 + -1y2X
w2 + z2 = -5 + xy2 + -1y2X

Add '-1z2' to each side of the equation.
w2 + z2 + -1z2 = -5 + xy2 + -1y2X + -1z2

Combine like terms: z2 + -1z2 = 0
w2 + 0 = -5 + xy2 + -1y2X + -1z2
w2 = -5 + xy2 + -1y2X + -1z2

Simplifying
w2 = -5 + xy2 + -1y2X + -1z2

Reorder the terms:
5 + w2 + -1xy2 + y2X + z2 = -5 + xy2 + -1y2X + -1z2 + 5 + -1xy2 + y2X + z2

Reorder the terms:
5 + w2 + -1xy2 + y2X + z2 = -5 + 5 + xy2 + -1xy2 + -1y2X + y2X + -1z2 + z2

Combine like terms: -5 + 5 = 0
5 + w2 + -1xy2 + y2X + z2 = 0 + xy2 + -1xy2 + -1y2X + y2X + -1z2 + z2
5 + w2 + -1xy2 + y2X + z2 = xy2 + -1xy2 + -1y2X + y2X + -1z2 + z2

Combine like terms: xy2 + -1xy2 = 0
5 + w2 + -1xy2 + y2X + z2 = 0 + -1y2X + y2X + -1z2 + z2
5 + w2 + -1xy2 + y2X + z2 = -1y2X + y2X + -1z2 + z2

Combine like terms: -1y2X + y2X = 0
5 + w2 + -1xy2 + y2X + z2 = 0 + -1z2 + z2
5 + w2 + -1xy2 + y2X + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
5 + w2 + -1xy2 + y2X + z2 = 0

The solution to this equation could not be determined.

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