(xy+z)p+(1-y^2)=x+yz

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Solution for (xy+z)p+(1-y^2)=x+yz equation: 


Simplifying
(xy + z) * p + (1 + -1y2) = x + yz

Reorder the terms for easier multiplication:
p(xy + z) + (1 + -1y2) = x + yz
(xy * p + z * p) + (1 + -1y2) = x + yz
(pxy + pz) + (1 + -1y2) = x + yz

Remove parenthesis around (1 + -1y2)
pxy + pz + 1 + -1y2 = x + yz

Reorder the terms:
1 + pxy + pz + -1y2 = x + yz

Solving
1 + pxy + pz + -1y2 = x + yz

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + pxy + pz + -1 + -1y2 = x + -1 + yz

Reorder the terms:
1 + -1 + pxy + pz + -1y2 = x + -1 + yz

Combine like terms: 1 + -1 = 0
0 + pxy + pz + -1y2 = x + -1 + yz
pxy + pz + -1y2 = x + -1 + yz

Reorder the terms:
pxy + pz + -1y2 = -1 + x + yz

Add 'y2' to each side of the equation.
pxy + pz + -1y2 + y2 = -1 + x + yz + y2

Combine like terms: -1y2 + y2 = 0
pxy + pz + 0 = -1 + x + yz + y2
pxy + pz = -1 + x + yz + y2

Reorder the terms:
1 + pxy + pz + -1x + -1yz + -1y2 = -1 + x + yz + y2 + 1 + -1x + -1yz + -1y2

Reorder the terms:
1 + pxy + pz + -1x + -1yz + -1y2 = -1 + 1 + x + -1x + yz + -1yz + y2 + -1y2

Combine like terms: -1 + 1 = 0
1 + pxy + pz + -1x + -1yz + -1y2 = 0 + x + -1x + yz + -1yz + y2 + -1y2
1 + pxy + pz + -1x + -1yz + -1y2 = x + -1x + yz + -1yz + y2 + -1y2

Combine like terms: x + -1x = 0
1 + pxy + pz + -1x + -1yz + -1y2 = 0 + yz + -1yz + y2 + -1y2
1 + pxy + pz + -1x + -1yz + -1y2 = yz + -1yz + y2 + -1y2

Combine like terms: yz + -1yz = 0
1 + pxy + pz + -1x + -1yz + -1y2 = 0 + y2 + -1y2
1 + pxy + pz + -1x + -1yz + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
1 + pxy + pz + -1x + -1yz + -1y2 = 0

The solution to this equation could not be determined.

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