xz^2+xw^2=xy^2+5forx

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Solution for xz^2+xw^2=xy^2+5forx equation:


Simplifying
xz2 + xw2 = xy2 + 5forx

Reorder the terms:
w2x + xz2 = xy2 + 5forx

Reorder the terms:
w2x + xz2 = 5forx + xy2

Solving
w2x + xz2 = 5forx + 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 = 5forx + xy2 + -1xz2

Combine like terms: xz2 + -1xz2 = 0
w2x + 0 = 5forx + xy2 + -1xz2
w2x = 5forx + xy2 + -1xz2

Divide each side by 'x'.
w2 = 5for + y2 + -1z2

Simplifying
w2 = 5for + y2 + -1z2

Reorder the terms:
-5for + w2 + -1y2 + z2 = 5for + y2 + -1z2 + -5for + -1y2 + z2

Reorder the terms:
-5for + w2 + -1y2 + z2 = 5for + -5for + y2 + -1y2 + -1z2 + z2

Combine like terms: 5for + -5for = 0
-5for + w2 + -1y2 + z2 = 0 + y2 + -1y2 + -1z2 + z2
-5for + w2 + -1y2 + z2 = y2 + -1y2 + -1z2 + z2

Combine like terms: y2 + -1y2 = 0
-5for + w2 + -1y2 + z2 = 0 + -1z2 + z2
-5for + w2 + -1y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-5for + w2 + -1y2 + z2 = 0

The solution to this equation could not be determined.

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