xy-zp+yx-xq=zx-y

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Solution for xy-zp+yx-xq=zx-y equation:


Simplifying
xy + -1zp + yx + -1xq = zx + -1y

Reorder the terms:
-1pz + -1qx + xy + xy = zx + -1y

Combine like terms: xy + xy = 2xy
-1pz + -1qx + 2xy = zx + -1y

Solving
-1pz + -1qx + 2xy = xz + -1y

Solving for variable 'p'.

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

Add 'qx' to each side of the equation.
-1pz + -1qx + qx + 2xy = xz + qx + -1y

Combine like terms: -1qx + qx = 0
-1pz + 0 + 2xy = xz + qx + -1y
-1pz + 2xy = xz + qx + -1y

Reorder the terms:
-1pz + 2xy = qx + xz + -1y

Add '-2xy' to each side of the equation.
-1pz + 2xy + -2xy = qx + xz + -2xy + -1y

Combine like terms: 2xy + -2xy = 0
-1pz + 0 = qx + xz + -2xy + -1y
-1pz = qx + xz + -2xy + -1y

Reorder the terms:
-1pz = qx + -2xy + xz + -1y

Divide each side by '-1z'.
p = -1qxz-1 + 2xyz-1 + -1x + yz-1

Simplifying
p = -1qxz-1 + 2xyz-1 + -1x + yz-1

Reorder the terms:
p = -1qxz-1 + -1x + 2xyz-1 + yz-1

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