XZ^2+XW^2=XY^2+91

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Solution for XZ^2+XW^2=XY^2+91 equation: 


Simplifying
XZ2 + XW2 = XY2 + 91

Reorder the terms:
W2X + XZ2 = XY2 + 91

Reorder the terms:
W2X + XZ2 = 91 + XY2

Solving
W2X + XZ2 = 91 + XY2

Solving for variable 'W'.

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

Add '-1XZ2' to each side of the equation.
W2X + XZ2 + -1XZ2 = 91 + XY2 + -1XZ2

Combine like terms: XZ2 + -1XZ2 = 0
W2X + 0 = 91 + XY2 + -1XZ2
W2X = 91 + XY2 + -1XZ2

Divide each side by 'X'.
W2 = 91X-1 + Y2 + -1Z2

Simplifying
W2 = 91X-1 + Y2 + -1Z2

Reorder the terms:
W2 + -91X-1 + -1Y2 + Z2 = 91X-1 + -91X-1 + Y2 + -1Y2 + -1Z2 + Z2

Combine like terms: 91X-1 + -91X-1 = 0
W2 + -91X-1 + -1Y2 + Z2 = 0 + Y2 + -1Y2 + -1Z2 + Z2
W2 + -91X-1 + -1Y2 + Z2 = Y2 + -1Y2 + -1Z2 + Z2

Combine like terms: Y2 + -1Y2 = 0
W2 + -91X-1 + -1Y2 + Z2 = 0 + -1Z2 + Z2
W2 + -91X-1 + -1Y2 + Z2 = -1Z2 + Z2

Combine like terms: -1Z2 + Z2 = 0
W2 + -91X-1 + -1Y2 + Z2 = 0

The solution to this equation could not be determined.

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