f(xyz)=-2x^2-6xy+8y^2+10zx-z^2

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Solution for f(xyz)=-2x^2-6xy+8y^2+10zx-z^2 equation:


Simplifying
f(xyz) = -2x2 + -6xy + 8y2 + 10zx + -1z2

Multiply f * xyz
fxyz = -2x2 + -6xy + 8y2 + 10zx + -1z2

Reorder the terms:
fxyz = -6xy + 10xz + -2x2 + 8y2 + -1z2

Solving
fxyz = -6xy + 10xz + -2x2 + 8y2 + -1z2

Solving for variable 'f'.

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

Divide each side by 'xyz'.
f = -6z-1 + 10y-1 + -2xy-1z-1 + 8x-1yz-1 + -1x-1y-1z

Simplifying
f = -6z-1 + 10y-1 + -2xy-1z-1 + 8x-1yz-1 + -1x-1y-1z

Reorder the terms:
f = -1x-1y-1z + 8x-1yz-1 + -2xy-1z-1 + 10y-1 + -6z-1

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