xy+xz+xt+yz+yt+zt=w

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Solution for xy+xz+xt+yz+yt+zt=w equation:


Simplifying
xy + xz + xt + yz + yt + zt = w

Reorder the terms:
tx + ty + tz + xy + xz + yz = w

Solving
tx + ty + tz + xy + xz + yz = w

Solving for variable 't'.

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

Add '-1xy' to each side of the equation.
tx + ty + tz + xy + xz + -1xy + yz = w + -1xy

Reorder the terms:
tx + ty + tz + xy + -1xy + xz + yz = w + -1xy

Combine like terms: xy + -1xy = 0
tx + ty + tz + 0 + xz + yz = w + -1xy
tx + ty + tz + xz + yz = w + -1xy

Add '-1xz' to each side of the equation.
tx + ty + tz + xz + -1xz + yz = w + -1xy + -1xz

Combine like terms: xz + -1xz = 0
tx + ty + tz + 0 + yz = w + -1xy + -1xz
tx + ty + tz + yz = w + -1xy + -1xz

Add '-1yz' to each side of the equation.
tx + ty + tz + yz + -1yz = w + -1xy + -1xz + -1yz

Combine like terms: yz + -1yz = 0
tx + ty + tz + 0 = w + -1xy + -1xz + -1yz
tx + ty + tz = w + -1xy + -1xz + -1yz

Reorder the terms:
tx + ty + tz + -1w + xy + xz + yz = w + -1w + -1xy + xy + -1xz + xz + -1yz + yz

Combine like terms: w + -1w = 0
tx + ty + tz + -1w + xy + xz + yz = 0 + -1xy + xy + -1xz + xz + -1yz + yz
tx + ty + tz + -1w + xy + xz + yz = -1xy + xy + -1xz + xz + -1yz + yz

Combine like terms: -1xy + xy = 0
tx + ty + tz + -1w + xy + xz + yz = 0 + -1xz + xz + -1yz + yz
tx + ty + tz + -1w + xy + xz + yz = -1xz + xz + -1yz + yz

Combine like terms: -1xz + xz = 0
tx + ty + tz + -1w + xy + xz + yz = 0 + -1yz + yz
tx + ty + tz + -1w + xy + xz + yz = -1yz + yz

Combine like terms: -1yz + yz = 0
tx + ty + tz + -1w + xy + xz + yz = 0

The solution to this equation could not be determined.

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